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Exponential Functions and Equations Quiz for Grade 11 General Mathematics

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Exponential Functions and Equations Quiz for Grade 11 General Mathematics

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Questions and Answers

Which of the following is the correct exponential function for the given graph?

B) $f(x) = 3^x$

C) $f(x) = 4^x$ (correct)

A) $f(x) = 2^x$

D) $f(x) = 5^x$

Solve the exponential equation: $2^x = 16$.

A) $x = 2$

B) $x = 3$

D) $x = 5$

C) $x = 4$ (correct)

Which of the following is the correct exponential function for the given table?

B) $f(x) = 3^x$

D) $f(x) = 5^x$

C) $f(x) = 4^x$

A) $f(x) = 2^x$ (correct)

Solve the exponential equation: $3^{2x} = 81$.

B) $x = 2$ Signup and view all the answers

Which of the following is the correct exponential function for the given graph?

$f(x) = 4^x$ Signup and view all the answers

Solve the exponential equation: $4^x = 64$.

$x = 2$ Signup and view all the answers

Which of the following is the correct exponential function for the given table?

$f(x) = 2^x$ Signup and view all the answers

Solve the exponential equation: $2^x = 16$.

$x = 4$ Signup and view all the answers

Which of the following is the correct exponential function for the given graph?

$f(x) = 3^x$ Signup and view all the answers

Study Notes

Exponential Functions and Equations

Exponential functions can be represented graphically, with key features to be identified.
Exponential functions can be represented in tables, with key values to be recognized.
Exponential equations can be solved to find the value of the variable, such as $x$ in $2^x = 16$.

Solving Exponential Equations

To solve $2^x = 16$, recognize that $2^4 = 16$, so $x = 4$.
To solve $3^{2x} = 81$, recognize that $3^4 = 81$, and since $2x = 4$, $x = 2$.
To solve $4^x = 64$, recognize that $4^3 = 64$, so $x = 3$.

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Description

This quiz is designed for Grade 11 students taking General Mathematics. It covers topics related to exponential functions and solving exponential equations. Test your knowledge and see how well you can identify the correct exponential function from a graph and solve exponential equations.