Questions: Question 10 The graph of a function f is given. Use the graph to answer the question. For what numbers x is f(x)<0 ? (-60,70) (-∞,-60) (-60, ∞) [-100,-60),(70,100)

Question 10

The graph of a function f is given. Use the graph to answer the question.

For what numbers x is f(x)<0 ?
(-60,70)
(-∞,-60)
(-60, ∞)
[-100,-60),(70,100)
Transcript text: Question 10 The graph of a function f is given. Use the graph to answer the question. For what numbers $x$ is $f(x)<0$ ? $(-60,70)$ $(-\infty,-60)$ $(-60, \infty)$ $[-100,-60),(70,100)$
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Solution

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Solution Steps

Step 1: Identify the intervals where the function is below the x-axis

Examine the graph to determine where the function \( f(x) \) is less than 0. This occurs where the graph is below the x-axis.

Step 2: Determine the x-values for these intervals

From the graph, identify the x-values where the function crosses the x-axis and the intervals where \( f(x) \) is negative. The function is below the x-axis in the intervals:

  • From \( x \approx -100 \) to \( x \approx -60 \)
  • From \( x \approx 0 \) to \( x \approx 70 \)
Step 3: Match the intervals with the given options

Compare the identified intervals with the provided answer choices:

  • \((-60, 70)\)
  • \((-\infty, -60)\)
  • \((-60, \infty)\)
  • \((-100, -60), (0, 70)\)

The correct intervals are \((-100, -60)\) and \((0, 70)\).

Final Answer

The correct answer is:

  • \((-100, -60), (0, 70)\)
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