Graphing Exponential Functions
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Objective
I can graph exponential functions and identify their key features.
Part 1 of 4
Warm-up video
Khan Academy · 4:05Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The initial value of the exponential function h(x) = 27 * (1/3)^x is 27, which is the value of h(x) when x equals 0.
- 2
To graph the exponential function, you can define two points and a horizontal asymptote.
- 3
As x becomes very large, the function h(x) = 27 * (1/3)^x approaches 0, indicating a horizontal asymptote at y = 0.
Part 3 of 4
Practice
11 questions
What is the initial value of the exponential function h(x) = 27 * (1/3)^x?
In the exponential function h(x) = 27 * (1/3)^x, what happens to h(x) as x becomes very large?
Part 4 of 4
Exit ticket
Quick comprehension check
“Consider the exponential function f(x) = 16 * (½)ˣ. What is the value of f(1)?”
Sample answer included in the free materials
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