Understanding Describing the Graph of a Function
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Beginner
Start here! Easy to understand
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Beginner Explanation
A function increases if $f(x_1) < f(x_2)$ when $x_1 < x_2$, and decreases if the opposite is true.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
Which of the following best describes a function that is always increasing?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
Imagine a skateboarder going down a ramp. The height of the skateboarder decreases as time passes, describing a decreasing function.
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Consider a function that is periodic and has maxima at $x = n\pi$ where $n$ is an integer. What can be said about its graph?
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4
Challenge Quiz
Single Choice Quiz
Advanced
For a function $f(x)$ that is decreasing for $x < -1$ and increasing for $x > -1$, what is true at $x = -1$?
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Recap
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