Questions: Use the graph of the function f shown to answer parts (a)-(n). f(-8)=6 (b) Find f(24) and f(0). f(24) = 6 f(0) = -3 (c) Is f(8) positive or negative? Negative Positive (d) Is f(-8) positive or negative? Positive Negative (e) For what value(s) of x is f(x)=0 ?

Use the graph of the function f shown to answer parts (a)-(n). f(-8)=6 (b) Find f(24) and f(0). f(24) = 6 f(0) = -3 (c) Is f(8) positive or negative? Negative Positive (d) Is f(-8) positive or negative? Positive Negative (e) For what value(s) of x is f(x)=0 ?
Transcript text: Use the graph of the function f shown to answer parts $(a)-(n)$. \[ f(-8)=6 \] (b) Find $f(24)$ and $f(0)$. \[ \begin{aligned} f(24) & =6 \\ f(0) & =-3 \end{aligned} \] (c) Is $f(8)$ positive or negative? Negative Positive (d) Is $f(-8)$ positive or negative? Positive Negative (e) For what value(s) of $x$ is $f(x)=0$ ?
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Solution

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Solution Steps

Step 1: Find f(24) and f(0)

From the graph:

  • f(24) = 6
  • f(0) = -3
Step 2: Determine if f(8) is positive or negative

From the graph:

  • f(8) is below the x-axis, so f(8) is negative.
Step 3: Determine if f(-8) is positive or negative

From the graph:

  • f(-8) is above the x-axis, so f(-8) is positive.

Final Answer

  1. f(24) = 6, f(0) = -3
  2. f(8) is negative.
  3. f(-8) is positive.
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