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College Algebra Exam 1 with solved questions.

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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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College Algebra Quiz 7 questions with best solutions

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#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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College Algebra All Chapters questions with answers

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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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Math 1065 College Algebra questions with solutions.

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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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College Algebra (Math 1111) Exam- 2 Review questions and answer

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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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College Algebra Final Exam Review questions with solutions

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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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college algebra test 3 questions with accurate answers

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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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college algebra test 1 questions with answers

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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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Math 131 College Algebra questions with verified answers

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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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College Algebra Midterm Exam questions with solved answers

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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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