the graph of a function is shown.\nwhich point is a good approximation of a relative maximum of the…
the graph of a function is shown.\nwhich point is a good approximation of a relative maximum of the graph?\n(1,3)\n(2,0)\n(-2,0)\n(-1,-3)
Answer
Explanation:
Step1: Recall the definition of a relative maximum
A relative maximum is a point on the graph where the function changes from increasing to decreasing.
Step2: Analyze each point
- For ((2,0)) and ((- 2,0)): These are (x -)intercepts (where (y = 0)), not relative maxima.
- For ((-1,-3)): This is a low - point (a relative minimum as the function changes from decreasing to increasing around it).
- For ((1,3)): Looking at the graph, near (x = 1), the function changes from increasing (to the left of (x = 1)) to decreasing (to the right of (x = 1)).
Answer:
((1,3))