5.6.3 quiz: graphing polynomial functions\nquestion 9 of 10\nwhich point is the best approximation of the…
5.6.3 quiz: graphing polynomial functions\nquestion 9 of 10\nwhich point is the best approximation of the relative maximum of the polynomial function graphed below?\nclick here for long description\na. (-2.7, 16)\nb. (-3.6, 17)\nc. (-2.2, 15)\nd. (-1.8, 15)
Answer
Explanation:
Step1: Understand the concept of relative maximum
A relative maximum of a function is a point where the function changes from increasing to decreasing. On the graph, it is the "peak" of a local rise.
Step2: Analyze the x - coordinate range
Looking at the graph, the x - coordinate of the relative maximum is between - 4 and - 2.
Step3: Analyze the y - coordinate range
The y - coordinate of the relative maximum is around 17.
Step4: Check the options
- Option A: (x=-2.7), (y = 16). The y - value is lower than what seems appropriate from the graph.
- Option B: (x=-3.6) (which is between - 4 and - 2) and (y = 17). This matches the approximate position of the relative maximum.
- Option C: (x=-2.2), (y = 15). The y - value is too low.
- Option D: (x=-1.8), (y = 15). The x - value is not in the correct range and the y - value is too low.
Answer:
B. ((-3.6,17))