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1 Exam (elaborations) college algebra formulas questions with best solutions 2 Exam (elaborations) Chapter 6 College Algebra questions with verified answers 3 Exam (elaborations) Unit 4 College Algebra questions with answers. 4 Exam (elaborations) MATH Test 1 College Algebra questions with answers 5 Exam (elaborations) College Algebra Section 1

Steps to Complete the Square - answers1. Move Constant to the right 2. Add (coefficient/2)^2 to both sides 3. Square both sides 4. Split into 2 possible solutions 5. Get 2 solutions quadratic formula - answers compound interest formula - answers simple interest formula - answers distance formula - answersD=R X T complex numbers - answers discriminant formula - answersif D> 0: 2 real solutions if D<0: 2 non-real solutions if D=0 : exactly 1 solution factor by gro...

when doing (f o g) (-2), what do you find first? - answersg(-2) then plug in to f(x) to solve what do you do when you have a fraction within a fraction ex: 1/ (2/x+1) -4 - answersmultiply by the denominator of the extra fraction in this case, multiply by (x+1/x-1) to get rid of fraction domains for composite functions do not include (2 things) ex: f(x) = 1/x-4 and g(x) = 2/x+1 find f o g - answers1. final answer denominator can't equal 0 2. denominator can't equal 0 i...

Graphing an exponential function and its asymptote: f(x)=bx - answers1. The domain is unrestricted, so you should start with the standard "spectrum" table having x values from -2 to 2. Do the calculations and plot the points (multiply straight across and flip if you multiply by a negative) 2. You must also place the asymptote into your final product. For the basic common exponential functions, the x-axis is the asymptote Translating the graph of an exponential function - answers1. To gr...

Distance Formula - answersd^2 = (x₂ - x₁)^2 - (y₂ - y₁)^2 Midpoint Formula - answers((x₂ + x₁)/2 , (y₂ + y₁)/2) Equation of a Circle - answers√(x - h)^2 + (y - k) ^2 = r a l s o (x - h)^2 + (y - k) ^2 = r^2 NOTE: center (h , k), radius is the distance between f(x) = 2x - answersD is all real numbers because 2x is defined for all real numbers g(x) = 1/x - answersAll real numbers except (x != 0) h(x) = √x - answersD is all non-negative real numbers x &g...

variable - answersA letter such as x or y that is used to represent various numbers example of variable - answersx algebraic expression - answersa combination of variable using addition, subtraction, multiplication, and division, and powers or roots example of an algebraic expression - answersx+5 x-7 3x x/8 4x+6 x^2-1 constant - answersA value that does not change example of constant - answersthenumber4x+4 equation - answersan equation is formed when an equal sign is placed bet...

Find the slope of the line through P(5, -1) and Q(0, 4). a) m = 0 b) m = 1 c) m = -1 d) m = -3/5 e) undefined; no slope - answersc) m = -1 Write the equation of the line that passes through the point P (3, 4) and is perpendicular to the line y = -5x + 8. a)y=1/5x +8 b)y=1/5x +4.6 c)y=1/5x +3.4 d)x=3.4y +1/5 e)y=x +3/4 - answersc) y=1/5x +3.4 If f(x) and g(x) are inverse functions, describe the position of the graphs that evidences their inverse relationship. - answersThe grap...

Remainder Theorem - answersIf polynomial p(x) of degree n>1 is divided by (x-a) where a is a constant, then the remainder is p(a) Find minima or maxima - answersfind -b/2a and than plug back in to equation What strategies can you use to find all the zeros of a polynomial? - answerssynthetic division, graphing, factoring Percent Profit Formula - answersPercentage Profit = ((selling price-cost price)/(cost price))*100 Polynomials - answersMonomial- 5x2 Binomial- 2x2+5x Trinomial- ...

What is the equation for a linear function? - answersf(x)=x What is the domain of a linear function? - answersall real numbers What is the range of a linear function? - answersall real numbers Where is the graph increasing on a linear function? - answersfrom left to right (-oo, +oo) Where is the graph decreasing on a linear function? - answersNever What are the maximums of a linear function? - answers+oo What are the minimums of a linear function? - answers-oo What is the eq...

Evaluate: 4a+2(c-d)^2/5b-a when a=12 and b=-4 and c=-3 and d=6 - answers-105/16 Simplify: 4(5-2x)+4(x-5) completely. - answers-4x Simplify: (48b^8t^5p^5/-8b^6t^5p^2)^3 - answers-216b^6p^9 Simplify: 6d^-6n^7/d^-8n^9 - answers6d^2/n^2 Simplify: (square root = -/) -/24x^4y^7 - answers2x^2y^3(-/)6y Simplify: (square root = -/) 1-/24+3-/175-2-/54+5-/7 - answers-4(-/)6+20(-/)7 Rationalize the denominator : (square root = -/) 7/-/7 - answers(-/)7 Add: (-9x^4-11x^2-x+8)+ (3x^4+5x^2+...

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...

#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)

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...

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...

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...

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...

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. ...

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...

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...

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= (...