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; e. the function values indicated below f(-2) e. What is the value of the function? 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; e. the function values indicated below f(-2) e. What is the value of the function? f(-2) =
Transcript text: Use the graph to determine $\mathbf{a}$. the function's domain; b. the function's range; $\mathbf{c}$. the $x$-intercepts, if any; $d$. the $y$-intercept, if any; e. the function values indicated below \[ f(-2) \] e. What is the value of the function? $f(-2)=$ $\square$
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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) that the function can accept. From the graph, it appears that the function is defined for all x-values from -2 to 2.

Step 2: Determine the Function's Range

The range of a function is the set of all possible output values (y-values) that the function can produce. From the graph, it appears that the function's output values (y-values) range from -2 to 2.

Step 3: Find the x-intercepts

The x-intercepts are the points where the graph crosses the x-axis (y=0). From the graph, it appears that the function crosses the x-axis at x = -2 and x = 2.

Final Answer

  1. Domain: \([-2, 2]\)
  2. Range: \([-2, 2]\)
  3. x-intercepts: \(x = -2\) and \(x = 2\)
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