Algebra 2: Resources and Extra Practice - 5.01 Exponential Functions

Algebra 2: Resources and Extra Practice

5.01 Exponential Functions

Essential Question:

How is an exponential function created?
How can the properties of exponents help solve exponential equations?
What are some real-world applications for exponential function?

Lesson 5.01 Video - If the video does not load correctly, Click Here to watch.

Khan Academy Resources

Intro to exponential functionsIn exponential functions the variable is in the exponent, like y=3ˣ. Here we introduce this concept with a few examples.

Exponential vs. linear growthFor constant increments in x, a linear growth would increase by a constant difference, and an exponential growth would increase by a constant ratio.

Solving exponential equations using exponent propertiesSal solves equations like 26^(9x+5) = 1 and 2^(3x+5) = 64^(x-7).

Exponential function graphAnalyzing the features of exponential graphs through the example of y=5ˣ.

Exponential decay introAn exponential function a⋅rˣ is growing (increasing) if r>1 and decaying (decreasing) if 0

Exponential growth & decay word problemsTwo word problem examples: one about a radioactive decay, and the other the exponential growth of a fast-food chain.

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