Exploring the Six Basic Functions

Exploring the Six Basic Functions

An introduction to the six basic functions and their exploration in various contexts.

In Algebra III, you will find it helpful to analyze functions that appear repeatedly. This lesson will help you recognize basic properties and characteristics of common functions.

Intercepts

​To find the x-intercept for a function let y=0 and solve for x.

​To find the y-intercept for a function let x=0 and solve for y.

The Identity Function

​x	f(x)
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The Square Function

​x	f(x)​
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The Cube Function

​x	f(x)
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The Square Root Function

​x	f(x)
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The Cube Root Function

​x	f(x)
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The Reciprocal Function

​x	f(x)
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The Absolute Value Function

​x	f(x)
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Multiple Choice

Which function represents the absolute value of a number?

• f(x) = x

• f(x) = c

• f(x) = mx + b

• f(x) = |x|

Match

Match the following functions to their graphs.

• $$f\left(x\right)=\sqrt[]{x}$$

• $$f\left(x\right)=x$$

• $$f\left(x\right)=\frac{1}{x}$$

• $$f\left(x\right)=x^2$$

• $$f\left(x\right)=\left|x\right|$$

Poll

How did you feel about today's lesson?

• ❤

  Loved it!

• 👍

  It was ok.

• 👎

  Not too bad, but still need more practice.

• 😡

  Confused.