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