Graphs of Logarithmic and Exponential Functions – Practice Questions

This page presents practice questions, with answers, on the graphs of logarithmic functions and exponential functions. These questions are designed for self-assessment and exam preparation.

To answer each question correctly, analyze the function carefully by considering:

Always sketch the graph of the given function before selecting your answer. Each question provides four possible graphs — choose the best one.

Graphs of logarithmic and exponential functions – View Answers


Question 1

Identify the graph of the logarithmic function \( f \).

\[ f(x) = \ln(-x) \]

View the four possible graphs


Question 2

Identify the graph of the exponential function \( f \).

\[ f(x) = e^{x + 2} \]

View the four possible graphs


Question 3

Identify the graph of the logarithmic function \( f \).

\[ f(x) = \ln x - 1 \]

View the four possible graphs


Question 4

Identify the graph of the exponential function \( f \).

\[ f(x) = e^{-x} + 1 \]

View the four possible graphs


Question 5

Identify the graph of the logarithmic function \( f \).

\[ f(x) = -\ln x - 1 \]

View the four possible graphs


Question 6

Identify the graph of the logarithmic function \( f \).

\[ f(x) = \ln(x - 1) + 1 \]

View the four possible graphs


Question 7

Identify the graph of the exponential function \( f \).

\[ f(x) = -e^{-x} \]

View the four possible graphs


Question 8

Identify the graph of the logarithmic function \( f \).

\[ f(x) = -\ln(-x) - 1 \]

View the four possible graphs


Question 9

Identify the graph of the exponential function \( f \).

\[ f(x) = -e^{-x - 1} + 1 \]

View the four possible graphs


Question 10

Identify the graph of the logarithmic function \( f \).

\[ f(x) = -\ln(-x + 1) \]

View the four possible graphs


More Practice

Explore additional math problems, questions, and online self-tests covering logarithmic and exponential functions.