Questions: The sketch of a function f is shown below. Its domain is [-2,2.5]. Give the solution of the inequality f(x) > -1 in interval form. You may need to estimate.

The sketch of a function f is shown below. Its domain is [-2,2.5]. Give the solution of the inequality f(x) > -1 in interval form. You may need to estimate.
Transcript text: 1. The sketch of a function $f$ is shown below. Its domain is $[-2,2.5]$. Give the solution of the inequality $f(x)>-1$ in interval form. You may need to estimate.
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Solution

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Solution Steps

Step 1: Identify the portions of the graph where f(x) > -1

Visually inspect the graph and locate the sections where the function lies above the horizontal line y = -1.

Step 2: Determine the x-values corresponding to these portions

The graph is above y = -1 approximately in the intervals [-2, -0.5] and [2, 2.5]. At x=-0.5 and x=2, f(x) appears to be very close to -1.

Final Answer

(-2, -0.5) U (2, 2.5]

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