
AP Precalculus Midterm Review
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Mathematics
11th Grade
CCSS covered
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
As x values increase without bound, what do the y-values approach in the function @@y=2ullet3^{-x}@@?
y approaches 0
y approaches 2
y approaches infinity
y approaches -2
Tags
CCSS.HSF-IF.C.7E
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the definition of a function composition?
A function composition is the application of one function to the results of another, denoted as @@f(g(x))@@.
A function composition is the process of adding two functions together.
A function composition is the multiplication of two functions to create a new function.
A function composition is the evaluation of a function at a specific point.
Tags
CCSS.HSF-BF.A.1C
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If @@f(x)=2x@@ and @@g(x)=2x^2-1@@, find @@f(g(x))@@.
@@f(g(x)) = f(2x^2 - 1) = 2(2x^2 - 1) = 4x^2 - 2@@
@@f(g(x)) = f(2x^2 - 1) = 2(2x^2 - 1) = 2x^2 - 1@@
@@f(g(x)) = f(2x^2 - 1) = 2(2x^2 - 1) = 8x^2 - 2@@
@@f(g(x)) = f(2x^2 - 1) = 2(2x^2 - 1) = 4x^2 + 2@@
Tags
CCSS.HSF-BF.A.1C
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the solution for @@log_2x^2 - log_24 = 3@@?
x = 4 and x = -4
x = 2 and x = -2
x = 8 and x = -8
x = 0 and x = 1
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the definition of a vertical translation in graph transformations?
A vertical translation shifts the graph up or down without changing its shape.
A vertical translation rotates the graph around a point.
A vertical translation reflects the graph across the x-axis.
A vertical translation stretches the graph horizontally.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the definition of average rate of change?
The average rate of change of a function over an interval is given by @@\frac{f(b) - f(a)}{b - a}@@.
The average rate of change is the slope of the tangent line at a point on the graph.
The average rate of change is the difference between the maximum and minimum values of a function.
The average rate of change is the integral of a function over an interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the relationship between logarithmic and exponential functions?
Logarithmic functions are the inverses of exponential functions.
Logarithmic functions are a type of exponential function.
Logarithmic functions and exponential functions are unrelated.
Logarithmic functions are always greater than exponential functions.
Tags
CCSS.HSF.BF.B.5
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