Analyzing Rate of Change: Determine if a Curved Function has Constant Slope

Question

Look at the graph below and determine whether the function's rate of change is constant or not:

–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111–3–3–3–2–2–2–1–1–1111222333444555000

Video Solution

Step-by-Step Solution

First we need to remember that if the function is not a straight line, its rate of change is not constant.

The rate of change is not uniform since the function is not a straight line.

Answer

Not constant

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Variation of a Function Rate of Change of a Function Variable Rate of Change Rate of Change of a Function Represented by a Table of Values Constant Rate of Change Rate of change of a function represented graphically Rate of change represented with steps in the graph of the function

Question Types

Variation of a Function: Calculate the rate of change in a graph