AP Calculus BC Prerequisites Test: A Review of Essential Concepts, Exams of Calculus

A comprehensive review of essential concepts for ap calculus bc, covering topics such as functions, trigonometry, and transformations. It includes a series of questions and answers designed to assess understanding and prepare students for the course. Particularly useful for students who are transitioning from pre-calculus to calculus and need to refresh their knowledge of key concepts.

Typology: Exams

2024/2025

Available from 02/05/2025

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AP Calculus BC - Prerequisites Test
Correct!.
f(x) = x - ANSWER
f(x) = x² - ANSWER
lna + lnb - ANSWERln(ab)
lna - lnb - ANSWERln(a/b)
blna - ANSWERln(a^b)
f(x) = x³ - ANSWER
f(x) = √x - ANSWER
f(x) = 1/x - ANSWER
f(x) = lnx - ANSWER
f(x) = e^x - ANSWER
f(x) = |x| - ANSWER
f(x) = sinx - ANSWER
f(x) = cosx - ANSWER
Shifts left a units - ANSWERHow does f(x+a) affect a graph?
x, x, x√2 - ANSWERWhat are the values of the legs and hypotenuse of a 45 45 90
triangle?
x, x√3, 2x - ANSWERWhat are the values of the legs and hypotenuse of a 30 60 90
triangle?
x = rcosθ
y = rsinθ - ANSWERHow do you turn polar coordinates to rectangular?
Shifts right a units - ANSWERHow does f(x-a) affect a graph?
Shifts up a units - ANSWERHow does f(x) + a affect a graph?
Shifts down a units - ANSWERHow does f(x) - a affect a graph?
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AP Calculus BC - Prerequisites Test

Correct!.

f(x) = x - ANSWER f(x) = x² - ANSWER lna + lnb - ANSWERln(ab) lna - lnb - ANSWERln(a/b) blna - ANSWERln(a^b) f(x) = x³ - ANSWER f(x) = √x - ANSWER f(x) = 1/x - ANSWER f(x) = lnx - ANSWER f(x) = e^x - ANSWER f(x) = |x| - ANSWER f(x) = sinx - ANSWER f(x) = cosx - ANSWER Shifts left a units - ANSWERHow does f(x+a) affect a graph? x, x, x√2 - ANSWERWhat are the values of the legs and hypotenuse of a 45 45 90 triangle? x, x√3, 2x - ANSWERWhat are the values of the legs and hypotenuse of a 30 60 90 triangle? x = rcosθ y = rsinθ - ANSWERHow do you turn polar coordinates to rectangular? Shifts right a units - ANSWERHow does f(x-a) affect a graph? Shifts up a units - ANSWERHow does f(x) + a affect a graph? Shifts down a units - ANSWERHow does f(x) - a affect a graph?

r = √(x² + y²) θ = arctan(y/x) - ANSWERHow do you turn rectangular coordinates to polar? a - ANSWERWhat is the amplitude in graph in the form of y = a sin (bx+c) + d? 2π / |b| - ANSWERHow do you find the transformed period for a sin or cos graph in the form of y = a sin (bx+c) + d? π/b - ANSWERHow do you find the transformed period for a tan graph in the form of y = a sin (bx+c) + d? -c / |b| - ANSWERHow do you find the phase shift (horizontal)? d - ANSWERHow do you find the vertical shift?