Question
Illustrate on a graph of $f(x)=1-x^{2}$ that the average rate of change of $f$ on $[-1,3]$ is $-2$.
Step 1
Step 1: First, we need to plot the function $f(x)=1-x^{2}$ on a graph. Show more…
Show all steps
Your feedback will help us improve your experience
Carson Merrill and 94 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the average rate of change of $f(x)=3 x^{2}+4$ beIween $x=-2$ and $x=1 .$ Illustrate your answer graphically.
Functions and Change
Average Rate of Change and Relative Change
Compute the average rate of change of $f$ from $x_{1}$ to $x_{2}$. Round your answer to two decimal places when appropriate. Interpret your result graphically. $$ f(x)=x^{3}-2 x, x_{1}=2, \text { and } x_{2}=4 $$
Introduction to Functions and Graphs
Functions and Their Rates of Change
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD