Question 542·Easy·Math

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The function $g$ is defined by $g(x)=2^{x+3}$ . What is the value of $g(2)$ ?

A function evaluation gives you an input and asks for the output. Replace the variable in the rule with the number inside the function’s parentheses. For an exponential rule, keep the entire exponent together; it is not multiplied by the base. In Desmos, define the function, then enter the requested value.

Hints

Hint 1
The input is the number inside $g(2)$ . Replace $x$ with that number wherever it appears in the rule. What does the exponent $x+3$ become?
Hint 2
An exponent tells you how many times to use the base as a factor. The whole expression above the $2$ is the exponent. Define the function in Desmos, then enter $g(2)$ .

Step-by-step

Substitute, then evaluate in Desmos
Step 1
Put the input into the exponent
The number in $g(2)$ is the input, so replace $x$ with $2$ :
$g(2)=2^{2+3}.$
Type $g(x)=2^{x+3}$ in Desmos. Keep the entire $x+3$ in the exponent so Desmos uses the rule as given.
Step 2
Read the function’s output
Enter $g(2)$ on the next Desmos line. It shows $32$ : the exponent is $2+3=5$ , so $2^5=32$ . Substitute into the whole exponent before evaluating the power. The value of $g(2)$ is $32$ . Choice C.

Question 542·Easy·Math

Strategy

Hints

Step-by-step

Lessons that teach this

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Strategy

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Step-by-step

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