Horizontal asymptote - Study guides, Class notes & Summaries

How to find vertical asymptotes correct answer: The vertical asymptotes will occur at those values of x for which the denominator is equal to zero How many vertical asymptotes can a graph have? correct answer: infinite When will the graph have at least one horizontal asymptote at y=0 (the x-axis) correct answer: if m>n ; the degree of the denominator is larger than the degree of the numerator When will the graph have no horizontal asymptotes correct answer: m < n; the degree o...

area of a circle - correct answer A=πr² circumference of a circle - correct answer C=2πr horizontal intercept/roots/zeroes - correct answer values of x that make f(x)=0; make f(x)=0 (ex. 0 = x(x-7) , horizontal intercepts = 7, 0) vertical intercept - correct answer output value when input is 0 (ex. f(0)...

Asymptote a horizontal, vertical, or slanted line that a graph approaches but never touches coefficient of determination A statistic that measures how well a regression prediction approximates the real data points. An r^2 of 1 indicates that the regression prediction is a perfect fit for the data common ratio The number by which each term in a sequence is multiplied to find the next number in the sequence; for example 4 is the common ratio for the sequence [1, 4, 16, 64, 256...] Constan...

Vertical Asymptote - ANSWER-Set Denominator equal to zero Horizontal asymptote - ANSWER-set numerator equal to zero Rolles theorem states there is... - ANSWER-a tangent line at some point on a closed interval [a,b] if the following hold true a) continuous b) differentiable c) f(a)=f(b) Integration is a... - ANSWER-continuous addition process Intermediate Value Theorem: Suppose f is a function continuous at every point on the interval [a,b]: - ANSWER-a) f will take on every value b...

UTMA REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024 even function >symmetric about y-axis > f(-x) = f(x) odd function >symmetric through a line through origin > f(-x)=-f(x) domain of f(g(x)) >x-values in domain of g >x-values that make g(x) in domain of f what does an inverse function do flips graph over y=x to test if two functions are inverses f-1(f(x)) = x f(f-1(x)) = x (plug inverse into f and plug f into inverse, must get x) to find an in...

WGU C957 Applied Algebra - Brandy Exam Questions And Answers Asymptote - ANS a horizontal, vertical, or slanted line that a graph approaches but never touches coefficient of determination - ANS A statistic that measures how well a regression prediction approximates the real data points. An r^2 of 1 indicates that the regression prediction is a perfect fit for the data common ratio - ANS The number by which each term in a sequence is multiplied to find the next number in the ...

UTMA REVIEW WITH COMPLETE SOLUTIONS 100% 2023/2024 even function >symmetric about y-axis > f(-x) = f(x) odd function >symmetric through a line through origin > f(-x)=-f(x) domain of f(g(x)) >x-values in domain of g >x-values that make g(x) in domain of f what does an inverse function do flips graph over y=x to test if two functions are inverses f-1(f(x)) = x f(f-1(x)) = x (plug inverse into f and plug f into inverse, must get x) to find an in...

If (-2,4) is a point on a graph that is symmetric with respect to y-axis, then the point _________ is also on the graph. (2,4) If the point (9,-14) is a graph of a function f, then f(4) = -14 The graph of y=f(x+5)is found by horizontally shifting the graph of y=f(x) five units to the ____________________ left If f(2)=12 and g(2)=4 the (g-f)(2)= 4-12=-8 T/F A line with undefined slope is perpendicular to every line with slope zero. True T/F If (1,2) is a po...

Substitution yields 0/0 - correct answer Factor, conjugate, trig Substitution yields 3/0 - correct answer Plug limit for right and left Constant Multiple Law - correct answer lim x-a [cf(x)] = clim x-a f(x) Power Law - correct answer lim x - a [[f(x)]^n] = [lim x-a f(x)]^n 7 - correct answer lim x-a c ...

A-Level Pure Mathematics Formulas – WJEC Questions and Answers 2023 Completing the Square (Quadratic) a(x+B)^2+c Quadratic Formula x = -b ± √(b² - 4ac)/2a The Discriminant b^2-4ac Two distinct real roots b^2-4ac > 0 One real repeated root b^2-4ac = 0 No real roots b^2-4ac < 0 Factor Theorem If (x-a) is a factor of given polynomial P(x), P(a) = 0 Remainder Theorem If given polynomial f(x) is divided by (x-a) and isn't a factor...