7) drag each value of x into the bin if it appears to be a relative maximum or relative minimum. relative…

7) drag each value of x into the bin if it appears to be a relative maximum or relative minimum. relative maximum relative minimum neither answer bank a) -5 b) -4 c) -2 d) 0 e) 1 f) 5

7) drag each value of x into the bin if it appears to be a relative maximum or relative minimum. relative maximum relative minimum neither answer bank a) -5 b) -4 c) -2 d) 0 e) 1 f) 5

Answer

Explanation:

Step1: Recall the definition of relative extrema

A relative maximum occurs where the function changes from increasing to decreasing. A relative minimum occurs where the function changes from decreasing to increasing.

Step2: Analyze the graph

Examine the given graph to identify the (x) - values at the peaks (relative maxima) and valleys (relative minima).

  • For relative maxima, look for points where the curve has a "peak".
  • For relative minima, look for points where the curve has a "valley".

From the graph, we can see that:

  • The function has a relative maximum around (x=- 4).
  • The function has a relative minimum around (x = - 2) and (x=1).
  • (x=-5) and (x = 0) and (x = 5) are neither relative maxima nor relative minima.

Answer:

Relative Maximum: B) - 4 Relative Minimum: C) - 2, E) 1 Neither: A) - 5, D) 0, F) 5