Questions: Use the graph to find (a) the x-intercept(s) and (b) the zero(s) of the function. (a) The x-intercept(s) is/are (-2,0). (Type an ordered pair. Use a comma to separate answers as needed.) (b) The zero(s) of the function is/are x=-2. (Use a comma to separate answers as needed.)

Use the graph to find (a) the x-intercept(s) and (b) the zero(s) of the function.
(a) The x-intercept(s) is/are (-2,0).
(Type an ordered pair. Use a comma to separate answers as needed.)
(b) The zero(s) of the function is/are x=-2. (Use a comma to separate answers as needed.)

Transcript text: Use the graph to find (a) the $x$-intercept(s) and (b) the zero(s) of the function. (a) The $x$-intercept(s) is/are $(-2,0)$. (Type an ordered pair. Use a comma to separate answers as needed.) (b) The zero(s) of the function is/are $x=-2$. (Use a comma to separate answers as needed.)

Solution

Solution Steps

Step 1: Identify the x-intercepts

The x-intercepts are the points where the graph crosses the x-axis. These points have a y-coordinate of 0.

Step 2: Read the x-intercepts from the graph

From the graph, identify the points where the curve intersects the x-axis. In this case, the graph intersects the x-axis at \( x = -2 \) and \( x = 2 \).

Step 3: Identify the zeros of the function

The zeros of the function are the x-values where the function equals zero. These are the same as the x-intercepts.

Final Answer

(a) The x-intercepts are \( (-2, 0) \) and \( (2, 0) \).
(b) The zeros of the function are \( x = -2 \) and \( x = 2 \).

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