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 [math]f(x) = a sqrt(bx + c) +d[/math], where [math]a,b,c,d in RR[/math], 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 [math]f(x) = a root[3](x+b) + c[/math], where [math]a,b,c in RR[/math], the range is all real numbers.
  1. True
  2. False
3. 
When graphing a square root function of the form [math]f(x) = a sqrt(bx+c) + d[/math], where [math]a,b,c,d in RR[/math], there will never be any part of the graph to the left of the y-axis.
  1. True
  2. False
4. 
Given the function [math]f(x) = a root[3](x+b)+c[/math], where [math]a>0[/math], and where [math]b,c in RR[/math] which of the following is true of the graph of [math]f(x) ?[/math] 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 [math]f(x) = 2sqrt(x) + 1[/math].
Coordinate Plane - 10x10 - Blank



6. 
Graph the function [math]f(x) = -3sqrt(x - 2)[/math].
Coordinate Plane - 10x10 - Blank



7. 
Graph: [math]y=3sqrt(-(x-2))-5[/math].
Graph 10x10



8. 
Graph the function [math]f(x) = 2root[3](x) - 4[/math].
Coordinate Plane - 10x10 - Blank



9. 
Graph the function [math]f(x) = -root[3](2x)[/math].
Coordinate Plane - 10x10 - Blank



10. 
Graph [math]f(x) = 1/2 root[3](-(x+1))[/math].
Coordinate Plane - 10x10 - Blank



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