AP Precalculus Unit 2 Part B Passwater's MCQ Exam Review

Front

What is the value of x for which g(x) = 27 if g(x) = 3^{(x+1)}?

Back

x = 2

Tags

CCSS.HSF.IF.A.1

Front

Describe the behavior of a function h where the output increases without bound as the input increases and decreases without bound as the input approaches 0.

Back

The function h has a vertical asymptote at x = 0 and increases indefinitely as x increases.

Tags

CCSS.HSF-IF.C.7E

Front

What is the value of x for which h(x) = 1/16 if h(x) = 2^{(3x+1)}?

Back

x = -1

Front

How do you find the inverse of a function f at a specific value, such as f^{-1}(4)?

Back

To find f^{-1}(4), determine the x-value for which f(x) = 4.

Tags

CCSS.HSF-BF.B.4A

Front

What is the x-coordinate of the intersection of the graphs of g(x) = 4^x and h(x) = (1/2)^{(x+3)}?

Back

x = -1

Front

Define an exponential function.

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the variable.

Front

What is the general form of a logarithmic function?

Back

The general form of a logarithmic function is f(x) = log_b(x), where b is the base and x is the argument.

Tags

CCSS.HSF-IF.C.7E

Front

Explain the relationship between exponential and logarithmic functions.

Back

Exponential functions and logarithmic functions are inverses of each other. If y = b^x, then x = log_b(y).

Tags

CCSS.HSF.BF.B.5

Front

What is the domain of the function g(x) = 4^x?

Back

The domain of g(x) = 4^x is all real numbers, (-∞, ∞).

Front

What is the range of the function h(x) = (1/2)^{(x+3)}?

Back

The range of h(x) = (1/2)^{(x+3)} is (0, ∞).