Questions: Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below. f(-2)=? f(2)=?

Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below. f(-2)=? f(2)=?
Transcript text: Use the graph to determine a. the function's domain; $\mathbf{b}$. the function's range; $\mathbf{c}$. the $x$-intercepts, if any; $d$. the $y$-intercept, if any; and $\mathbf{e}$. the missing function values, indicated by question marks, below. \[ f(-2)=? \quad f(2)=? \]
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Solution

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Solution Steps

Step 1: Determine the function's domain

The domain of a function is the set of all possible input values (x-values) for which the function is defined. From the graph, the function is defined for all x-values from -5 to 5.

Step 2: Determine the function's range

The range of a function is the set of all possible output values (y-values). From the graph, the function's y-values range from -5 to 5.

Step 3: Determine the x-intercepts

The x-intercepts are the points where the graph crosses the x-axis. From the graph, the x-intercepts are at x = -3 and x = 3.

Final Answer

  • Domain: \([-5, 5]\)
  • Range: \([-5, 5]\)
  • X-intercepts: \(-3, 3\)
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