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h(x)=2^x The function h is defined abo...

`h(x)=2^x`
The function h is defined above. What is h(5) − h( 3) ?

A

2

B

4

C

24

D

28

Text Solution

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The correct Answer is:
To solve the problem, we need to evaluate the function \( h(x) = 2^x \) at two different points, \( x = 5 \) and \( x = 3 \), and then find the difference between these two values. ### Step-by-Step Solution: 1. **Evaluate \( h(5) \)**: \[ h(5) = 2^5 \] Calculate \( 2^5 \): \[ 2^5 = 32 \] 2. **Evaluate \( h(3) \)**: \[ h(3) = 2^3 \] Calculate \( 2^3 \): \[ 2^3 = 8 \] 3. **Calculate \( h(5) - h(3) \)**: \[ h(5) - h(3) = 32 - 8 \] Perform the subtraction: \[ 32 - 8 = 24 \] Thus, the final answer is: \[ h(5) - h(3) = 24 \]
To solve the problem, we need to evaluate the function \( h(x) = 2^x \) at two different points, \( x = 5 \) and \( x = 3 \), and then find the difference between these two values. ### Step-by-Step Solution: 1. **Evaluate \( h(5) \)**: \[ h(5) = 2^5 \] ...
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