Question

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.

Answer 1

There are multiple statements that could be true for h based on the given information, but here are a few possibilities:

h(x) is a linear function with a slope of 1.5 and a y-intercept of 5.

h(x) is a quadratic function that opens upward with a maximum value of 25 at x = 11.

h(x) is a sinusoidal function with an amplitude of 8 and a period of 6.

Without more information, it's impossible to know for sure which statement is true, or if any of them are true.