Questions: Find values of the function ? f(-1)= f(1)=

Find values of the function ? f(-1)= f(1)=
Transcript text: Find values of the function ? f(-1)= f(1)=
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Solution

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Solution Steps

Step 1: Identify the Function Type

The graph shows a V-shaped figure, which is characteristic of an absolute value function.

Step 2: Determine the Vertex

The vertex of the V-shaped graph is at the point (0, -5).

Step 3: Write the Absolute Value Function

The general form of an absolute value function is \( y = a|x - h| + k \), where (h, k) is the vertex. Here, the vertex is (0, -5), so the function is \( y = a|x| - 5 \).

Step 4: Determine the Slope

The slope of the lines forming the V can be determined by the rise over run. From the vertex (0, -5) to the point (5, 0), the rise is 5 and the run is 5, giving a slope of 1. Therefore, \( a = 1 \).

Final Answer

The equation of the graph is \( y = |x| - 5 \).

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