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College Algebra Exam 1 with solved questions.
Midpoint Formula - answers(x1+x2/2, y1+y2/2) 
 
Distance Formula - answersd = √[( x₂ - x₁)² + (y₂ - y₁)²] 
 
slope formula - answersy2-y1/x2-x1 
 
slope-intercept form - answersy = mx + b 
 
point slope form - answersy - y1 = m(x - x1) 
 
vertical line equation - answersx = a, where a is the x-intercept. Slope is always undefined. 
 
Horizontal Line Equation - answersy = b, where b is the y-intercept. Slope is always 0. 
 
Perpendicular Lines Theorem - answersSlope is the negative re...
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- Exam (elaborations)
- • 3 pages •
Midpoint Formula - answers(x1+x2/2, y1+y2/2) 
 
Distance Formula - answersd = √[( x₂ - x₁)² + (y₂ - y₁)²] 
 
slope formula - answersy2-y1/x2-x1 
 
slope-intercept form - answersy = mx + b 
 
point slope form - answersy - y1 = m(x - x1) 
 
vertical line equation - answersx = a, where a is the x-intercept. Slope is always undefined. 
 
Horizontal Line Equation - answersy = b, where b is the y-intercept. Slope is always 0. 
 
Perpendicular Lines Theorem - answersSlope is the negative re...
College Algebra Quiz 7 questions with best solutions
#1)logbb= - answers1 
 
#2)logb1= - answers0 
 
#3)logbb^x= - answersx 
 
#4)b^logbx= - answersx 
 
#5)logbxy= - answerslogbx+logby (log of a product) 
 
#6)logbx/y= - answerslogbx-logbx (log of a quotient) 
 
#7)logbx^r= - answersr x logbx (log of a base to a power)
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- Exam (elaborations)
- • 1 pages •
#1)logbb= - answers1 
 
#2)logb1= - answers0 
 
#3)logbb^x= - answersx 
 
#4)b^logbx= - answersx 
 
#5)logbxy= - answerslogbx+logby (log of a product) 
 
#6)logbx/y= - answerslogbx-logbx (log of a quotient) 
 
#7)logbx^r= - answersr x logbx (log of a base to a power)
College Algebra All Chapters questions with answers
natural numbers - answersthe counting numbers i.e. 1, 2, 3... 
 
intergers - answersinclude the natural numbers, their opposites, and 0 
 
rational numbers - answersinclude integers, all fractions p/q, where p and q are integers with q DNE 0, all repeating and all terminating decimals 
 
irrational numbers - answerscannot be written as nonrepeating, nonterminating decimals, cannot be a rational number, includes non-integer square roots 
 
real numbers - answersincludes rational and irrational nu...
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- Exam (elaborations)
- • 4 pages •
natural numbers - answersthe counting numbers i.e. 1, 2, 3... 
 
intergers - answersinclude the natural numbers, their opposites, and 0 
 
rational numbers - answersinclude integers, all fractions p/q, where p and q are integers with q DNE 0, all repeating and all terminating decimals 
 
irrational numbers - answerscannot be written as nonrepeating, nonterminating decimals, cannot be a rational number, includes non-integer square roots 
 
real numbers - answersincludes rational and irrational nu...
Math 1065 College Algebra questions with solutions.
Midpoint - answers 
 
distance - answers 
 
standard form of equation of a circle - answers 
 
slope - answers 
 
point-slope form - answers 
 
slope-intercept form - answers 
 
standard form of line - answers 
 
slope of line given standard form - answersm=-a/b 
 
y-intercept of line given standard form - answersc/b 
 
vertical line - answers(a,0) 
 
horizontal line - answers(0,b) 
 
function - answerseach element of domain there is exactly one corresponding element of the range 
 
domain of po...
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- Exam (elaborations)
- • 3 pages •
Midpoint - answers 
 
distance - answers 
 
standard form of equation of a circle - answers 
 
slope - answers 
 
point-slope form - answers 
 
slope-intercept form - answers 
 
standard form of line - answers 
 
slope of line given standard form - answersm=-a/b 
 
y-intercept of line given standard form - answersc/b 
 
vertical line - answers(a,0) 
 
horizontal line - answers(0,b) 
 
function - answerseach element of domain there is exactly one corresponding element of the range 
 
domain of po...
College Algebra (Math 1111) Exam- 2 Review questions and answer
What can a Linear Function Equation be written as? - answersf(x) = ax + b or f(x) = mx + b. 
 
The formula for a quadratic function is different from that of a linear function because it contains an x^2 term. 
 
Examples: 
f(x) = 3x^2 + 3x + 5 and g(x) = 5 - x^2 are not linear equations because of the ^2's. 
 
What is the Quadratic Function Equation? - answersThe "a" in f(x) is called the Leading Coefficient. 
 
What is a Parabola? - answersThe graph f(x) is called a Parabola. 
 
Exampl...
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- Exam (elaborations)
- • 6 pages •
What can a Linear Function Equation be written as? - answersf(x) = ax + b or f(x) = mx + b. 
 
The formula for a quadratic function is different from that of a linear function because it contains an x^2 term. 
 
Examples: 
f(x) = 3x^2 + 3x + 5 and g(x) = 5 - x^2 are not linear equations because of the ^2's. 
 
What is the Quadratic Function Equation? - answersThe "a" in f(x) is called the Leading Coefficient. 
 
What is a Parabola? - answersThe graph f(x) is called a Parabola. 
 
Exampl...
College Algebra Final Exam Review questions with solutions
Find the difference quotient, (f(x+h) - f(x))/h, h does not equal 0, for each of the following functions. 
 
a) f(x) = x^2 - x - 2 
b) 3x^2 - 2x + 6 - answersa) 2x + h - 1 
b) 6x + 3h - 2 
 
Determine algebraically whether the follwoing functions are even, odd or neither. 
 
a) f(x) = 3x^4 - 2x^2 
b) g(x) = 2x^5 + x 
c) h(x) = 7x^2 + 5x - 1 - answersa) Even 
b) odd 
c) neither 
 
let f(x) = x^2 - 9x and g(x) = 2x + 3, Find each of the following. 
 
a) (f + g)(x) 
b) (f - g)(x) 
c) (fg)(x) 
d) (f...
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- Exam (elaborations)
- • 5 pages •
Find the difference quotient, (f(x+h) - f(x))/h, h does not equal 0, for each of the following functions. 
 
a) f(x) = x^2 - x - 2 
b) 3x^2 - 2x + 6 - answersa) 2x + h - 1 
b) 6x + 3h - 2 
 
Determine algebraically whether the follwoing functions are even, odd or neither. 
 
a) f(x) = 3x^4 - 2x^2 
b) g(x) = 2x^5 + x 
c) h(x) = 7x^2 + 5x - 1 - answersa) Even 
b) odd 
c) neither 
 
let f(x) = x^2 - 9x and g(x) = 2x + 3, Find each of the following. 
 
a) (f + g)(x) 
b) (f - g)(x) 
c) (fg)(x) 
d) (f...
college algebra test 3 questions with accurate answers
Answer the following questions about the function below: 
f(x)=x⁷+8x⁶+15x⁵ 
a) Use the leading coefficient test to determine the graphs end behavior. 
b) Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. 
c)Find the y-intercept. 
d) Determine whether the graph has y-axis symmetry, origin symmetry, or neither. 
e) Graph the function. - answersa) Use the leading coefficient test to determine the graphs end behavior. ...
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- Exam (elaborations)
- • 8 pages •
Answer the following questions about the function below: 
f(x)=x⁷+8x⁶+15x⁵ 
a) Use the leading coefficient test to determine the graphs end behavior. 
b) Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. 
c)Find the y-intercept. 
d) Determine whether the graph has y-axis symmetry, origin symmetry, or neither. 
e) Graph the function. - answersa) Use the leading coefficient test to determine the graphs end behavior. ...
college algebra test 1 questions with answers
reflection across x axis - answersy=-f(x) 
 
reflection across y axis - answersy=f(-x) 
 
identity function 
 
f(x)=x - answers 
 
squaring function 
 
f(x)=x^2 - answers 
 
Cubing Function 
 
F(x)=x^3 - answers 
 
square root function 
 
f(x)=sqrtx - answers 
 
cube root function 
f(x)= 3sqrtx - answers 
 
absolute value function 
 
f(x)= lxl - answers 
 
greatest interval function 
f(x)= llxll - answers 
 
vertically shrinking - answers1/2 
 
vertically stretching - answersgreater than 1 
 
ho...
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- Exam (elaborations)
- • 2 pages •
reflection across x axis - answersy=-f(x) 
 
reflection across y axis - answersy=f(-x) 
 
identity function 
 
f(x)=x - answers 
 
squaring function 
 
f(x)=x^2 - answers 
 
Cubing Function 
 
F(x)=x^3 - answers 
 
square root function 
 
f(x)=sqrtx - answers 
 
cube root function 
f(x)= 3sqrtx - answers 
 
absolute value function 
 
f(x)= lxl - answers 
 
greatest interval function 
f(x)= llxll - answers 
 
vertically shrinking - answers1/2 
 
vertically stretching - answersgreater than 1 
 
ho...
Math 131 College Algebra questions with verified answers
the domain of f - answers(-infinity, infinity) 
 
the range of f - answers[-1, infinity) 
 
What are the zeros of the function - answersthe left zero of the function is 4 and the right is 6 
 
What is the y-intercept - answersthe y intercept of the function is24 
 
Over what interval is f increasing - answers(5, Infinity) 
 
Over what interval is f decreasing - answers(0,5) 
 
Over what interval is f constant - answers(-infinity, 0) 
 
What is the number at which f has a relative minimum - answe...
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- Exam (elaborations)
- • 2 pages •
the domain of f - answers(-infinity, infinity) 
 
the range of f - answers[-1, infinity) 
 
What are the zeros of the function - answersthe left zero of the function is 4 and the right is 6 
 
What is the y-intercept - answersthe y intercept of the function is24 
 
Over what interval is f increasing - answers(5, Infinity) 
 
Over what interval is f decreasing - answers(0,5) 
 
Over what interval is f constant - answers(-infinity, 0) 
 
What is the number at which f has a relative minimum - answe...
College Algebra Midterm Exam questions with solved answers
distance formula - answersd=√(x₂-x₁)² + (y₂-y₁)² 
 
midpoint formula - answersm= (x₁+x₂)/2 , (y₁+y₂)/2 
 
what is the first step when simplifying rational expressions/polynomials? - answersFACTOR FIRST 
 
once you simplify a rational expression, what is the last step before finishing? - answersmake sure your answer is completely factored out 
 
5 questions to ask when factoring - answers1. search and rescue (look for GCF, then factor out) 
2. difference of squares? x²-a²= (...
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- Exam (elaborations)
- • 2 pages •
distance formula - answersd=√(x₂-x₁)² + (y₂-y₁)² 
 
midpoint formula - answersm= (x₁+x₂)/2 , (y₁+y₂)/2 
 
what is the first step when simplifying rational expressions/polynomials? - answersFACTOR FIRST 
 
once you simplify a rational expression, what is the last step before finishing? - answersmake sure your answer is completely factored out 
 
5 questions to ask when factoring - answers1. search and rescue (look for GCF, then factor out) 
2. difference of squares? x²-a²= (...