WorksheetsGraphing Square and Cube Root Functions
Total questions: 21
Worksheet time: 19mins
Which function matches the graph?
A
f(x) = √(x - 4) - 2
B
f(x) = √(x + 2) - 4
C
f(x) = √(x - 2) - 4
D
f(x) = √(x + 4) - 2
Which function matches the graph?
A
f(x) = √(x - 1) + 3
B
f(x) = − √(x + 1) + 3
C
f(x) = √(-x + 1) + 3
D
f(x) = − √(x + 3) − 1
Which function matches the graph?
A
f(x) = ∛(x + 3) + 2
B
f(x) = − ∛(x - 3) + 2
C
f(x) = ∛(x - 3) + 2
D
f(x) = ∛(x - 2) + 3
Which function matches the graph?
A
f(x) = − ∛(x + 3) − 1
B
f(x) = − ∛(x - 3) − 1
C
f(x) = ∛(x + 3) − 1
D
f(x) = ∛(x - 1) + 3
What is the equation of the graph?
y = √(x - 3)
y = √(x) + 3
y = √(x - 5) + 4
y = √(x + 5) + 4
the parent function f(x) = √x to the function above
What transformations have occurred to get from the parent function f(x) to the transformed function g(x)?
reflection over the x-axis,vertical shrink by a factor of -5
reflection over the x-axis,vertical shrink by a factor of 1/5
reflection over the x-axis,vertical stretch by a factor of 5
reflection over the y-axis,vertical stretch by a factor of 5
If f(x) = ∛(x) is reflected over the x-axis, vertically shrunk by a factor of 1/4, and shifted left 9, which equation is correct?
1/4 ∛(x + 9)
1/4 ∛(x - 9)
- 1/4 ∛(x + 9)
- 1/4 ∛(x - 9)
What are the transformations from the parent function?
g(x)=7x+2
Horizontal stretch by 7, up 2
Horizontal shrink by 1/7, up 2
Vertical stretch by 7, up 2
Vertical shrink by 1/7, left 2
What is the domain of this function?
f(x) = √(x-2) + 4
x ≥ 2
x ≤ 2
x ≥ 4
x ≤ 4
What is the domain and range of a cube root function?
x ≥ 0 and y ≥ 0
x ≤ 0 and y ≤ 0
x = All real numbers and y = All real numbers
All of the above
Find the domain and range of the function
x ≥ -1
x ≥ 1
x ≤ -1
x ≤ 1/4
Identify the domain of the function.
x ≥ 5/2
x ≥ 5
x ≥ 0
x ≥ 2/5
