Questions: Evaluate the function at the given values. g(y)=y^2+2 a. g(4)= 18 b. g(-1)= c. g(0)=

Transcript text: Evaluate the function at the given values. \[ g(y)=y^{2}+2 \] a. $g(4)=$ $\square$ 18 b. $g(-1)=$ $\square$ c. $g(0)=$ $\square$ Try again

Solution

Solution Steps

To evaluate the function $ g(y) = y^2 + 2 $ at the given values, we will substitute each value of $ y $ into the function and compute the result.

Step 1: Evaluate $ g(4) $

To find $ g(4) $, substitute $ y = 4 $ into the function $ g(y) = y^2 + 2 $: \[ g(4) = 4^2 + 2 = 16 + 2 = 18 \]

Step 2: Evaluate $ g(-1) $

To find $ g(-1) $, substitute $ y = -1 $ into the function $ g(y) = y^2 + 2 $: \[ g(-1) = (-1)^2 + 2 = 1 + 2 = 3 \]

Step 3: Evaluate $ g(0) $

To find $ g(0) $, substitute $ y = 0 $ into the function $ g(y) = y^2 + 2 $: \[ g(0) = 0^2 + 2 = 0 + 2 = 2 \]

Final Answer

\[ \boxed{g(4) = 18} \boxed{g(-1) = 3} \boxed{g(0) = 2} \]

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