Questions: absolute extrema.
(a) Estimate the local minima. Choose the correct answer below.
A. 0,4
B. -16
C. -10,4
D. -10
E. There are no local minima of f.
Estimate the local maxima. Choose the correct answer below.
A. 10,12
B. 0,4
C. 14
D. 12
E. There are no local maxima of f.
Transcript text: absolute extrema.
(a) Estimate the local minima. Choose the correct answer below.
A. 0,4
B. -16
C. $-10,4$
D. -10
E. There are no local minima of $f$.
Estimate the local maxima. Choose the correct answer below.
A. 10,12
B. 0,4
C. 14
D. 12
E. There are no local maxima of $f$.
Solution
Solution Steps
Step 1: Locate Local Minima
Local minima are the lowest points in a small interval of the graph. The graph reaches low points at approximately x = -2 and x = 4. The corresponding y-values are approximately -10 and 4.
Step 2: Locate Local Maxima
Local maxima are the highest points in a small interval of the graph. The graph reaches high points at approximately x = -5 and x = 2. The corresponding y-values are approximately 12 and 12.