Algebra II : Solving and Graphing Radicals
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #8 : Graph Square Root, Cube Root, And Piecewise Functions
Which of the following is the graph of 
The graph of 
.
The other graphs shown are those of 
Example Question #9 : Graph Square Root, Cube Root, And Piecewise Functions
Which of the following is the graph of 
The graph of 
The other graphs pictured are 
Example Question #10 : Graph Square Root, Cube Root, And Piecewise Functions
State the x-intercept, y-intercept, domain, and range of the function 
x-intercept: x=0
y-intercept: y=0
Domain:
Range:
x-intercept: none
y-intercept: none
Domain:
Range:
x-intercept: none
y-intercept: none
Domain:
Range:
x-intercept: x=0
y-intercept: y=0
Domain:
Range:
x-intercept: x=0
y-intercept: y=0
Domain:
Range:
This graph intersects 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 the right. However, the leftmost point is (0,0.) Likewise, the graph will go infinitely high, but its lowest point is also (0,0). Therefore, its domain is 
Example Question #11 : Graph Square Root, Cube Root, And Piecewise Functions
State the x-intercept, y-intercept, domain, and range of the function 
x-intercept: x=0
y-intercept: y=0
Domain:
Range:
x-intercept: x=0
y-intercept: y=0
Domain:
Range:
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:
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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