Question

Consider the function f(x) = 2x² - 9x + 1. Step 1 of 2: Interpret the meaning of f(-5) = 96. a. The instantaneous rate of change at x = -5 is 96. b. The slope of the secant line from f(-5) to f(5) is 96. c. The height of the function at x = -5 is 96
d. The slope of the secant line from f(-5) to f (0) is 96. Consider the function f(x) = 2x² - 9x + 1.
Step 2 of 2: Interpret the meaning of f'(-5) = -29.
a. The slope of the secant line from f(-5) to f(0) is - 29. b. The average rate of change from x = -5 to x = 5 is-29. c. The height of the function at x = -5 is -29. d. The instantaneous rate of change at x = -5 is - 29.

Answer 1

Key Concepts

• Interpreting functions

Solution

c) The height of the function at x = -5 is 96.

The statement f(-5) = 96 simply tells us that the point (-5,96) falls on the line. It does not say anything about the rate of change.