Questions: Use the graph of h in the given figure to find the following values or state that they do not exist. (a) h(3) (b) lim h(x) as x approaches 3 (c) h(7) (d) lim as x approaches 7 h(x) (e) lim as x approaches 8 h(x) (a) Find h(3). Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. h(3)= (Type an integer or a decimal.) B. h(3) is undefined.

Use the graph of h in the given figure to find the following values or state that they do not exist. (a) h(3) (b) lim h(x) as x approaches 3 (c) h(7) (d) lim as x approaches 7 h(x) (e) lim as x approaches 8 h(x) (a) Find h(3). Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. h(3)= (Type an integer or a decimal.) B. h(3) is undefined.
Transcript text: Use the graph of $h$ in the given figure to find the following values or state that they do not exist. (a) $h(3)$ (b) $\lim h(x)$ \[ x \rightarrow 3 \] (c) $h(7)$ (d) $\lim _{x \rightarrow 7} h(x)$ (e) $\lim _{x \rightarrow 8} h(x)$ (a) Find $\mathrm{h}(3)$. Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. $h(3)=$ $\square$ (Type an integer or a decimal.) B. $h(3)$ is undefined.
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Solution

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Solution Steps

Step 1: Find h(3)

The graph of h passes through the point (3, 4). Therefore, h(3) = 4.

Step 2: Find the limit of h(x) as x approaches 3

As x approaches 3 from both the left and the right, the values of h(x) approach 4. Therefore, the limit of h(x) as x approaches 3 is 4.

Step 3: Find h(7)

The graph of h passes through the point (7,2). So h(7) = 2.

Final Answer

(a) A. h(3) = 4 (b) 4 (c) 2

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