Algebra II : Graph Square Root, Cube Root, and Piecewise Functions

Study concepts, example questions & explanations for Algebra II

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Example Questions

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Example Question #11 : Graph Square Root, Cube Root, And Piecewise Functions

State the x-intercept, y-intercept, domain, and range of the function , pictured below.

Cbrt x

Possible Answers:

x-intercept: x=10

y-intercept: y=3

Domain: 

Range: 

x-intercept: x=10

y-intercept: y=3

Domain: 

Range: 

x-intercept: x=0

y-intercept: y=0

Domain: 

Range: 

x-intercept: x=0

y-intercept: y=0

Domain: 

Range: 

Correct answer:

x-intercept: x=0

y-intercept: y=0

Domain: 

Range: 

Explanation:

This graph crosses the x axis only once and the y axis only once, and these happen to coincide at the point (0,0). Therefore the x-intercept is at x=0 and the y-intercept is at y=0. The graph will go on infinitely to both the left and the right. Additionally (and despite the fact that it won't happen as quickly), the graph also will go infinitely high in both its positive and negative y values. Therefore, both the domain and range of this graph are .

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