##### Notes

This printable supports Common Core Mathematics Standard HSF-IF.C.7, HSF-IF.C.7b

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# Graphing Square Root and Cube Root Functions (Grade 10)

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## Graphing Square Root and Cube Root Functions

Instructions: Ensure that all graphs are properly labeled.

1.
When graphing a square root function of the form $f(x) = a sqrt(bx + c) +d$, where $a,b,c,d in RR$, there is always either a minimum or maximum value (but not both).
1. True
2. False
2.
When graphing a cube root function of the form $f(x) = a root[3](x+b) + c$, where $a,b,c in RR$, the range is all real numbers.
1. True
2. False
3.
When graphing a square root function of the form $f(x) = a sqrt(bx+c) + d$, where $a,b,c,d in RR$, there will never be any part of the graph to the left of the y-axis.
1. True
2. False
4.
Given the function $f(x) = a root[3](x+b)+c$, where $a>0$, and where $b,c in RR$ which of the following is true of the graph of $f(x) ?$ There may be more than one correct answer.
1. It is always increasing.
2. It has a y-intercept.
3. It has an x-intercept.
4. The domain is all real numbers.
5.
Graph the square root function $f(x) = 2sqrt(x) + 1$.

6.
Graph the function $f(x) = -3sqrt(x - 2)$.

7.
Graph: $y=3sqrt(-(x-2))-5$.

8.
Graph the function $f(x) = 2root[3](x) - 4$.

9.
Graph the function $f(x) = -root[3](2x)$.

10.
Graph $f(x) = 1/2 root[3](-(x+1))$.

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