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WorksheetsGrade 9 Trigonometry Inverse of Functions
Total questions: 15
Worksheet time: 11mins
f(x)=f−1(x)
True
False
Find the Inverse of the Function described by the set of ordered pairs
{(0,-2), (1,0), (2,2), (3,4)}
No Inverse
{(-2,0), (0,1), (2,2), (4,3)}
{(0,-2), (1,0), (2,2), (3,4)}
What line test is use to determine that a relation is a function?
Intersecting Line
Horizontal Line
Vertical Line
Parallel Line
What line test is use to determine that a relation is a one to one function?
Intersecting Line
Horizontal Line
Vertical Line
Parallel Line
All function have their inverse function.
True
False
The function and its inverse are reflected at what line?
x=y
x=0
x=-y
y=0
The inverse of the function is written as...
f(x)
f′(x)
f−1(x)
f(x)1
Describe the graph.
They are inverse functions.
They are reflected over x=y, but they are both not a functions.
They are reflected over x=y, but only one is a function.
They are not reflected over x=y, but they are inverse functions.
Describe the graph.
They are inverse functions.
They are reflected over x=y, but only one is a function.
They are reflected over x=y, but they are both not a functions.
They are not reflected over x=y, but they are inverse functions.
How do you find an inverse?
Flip the signs on all the y values.
Flip the signs on all the y values.
Do nothing.
Switch x and y
Which of the following is a graph of a function and its inverse function?
Find the inverse of f(x)=x−5
f−1(x)=x−5
f−1(x)=x+5
f(x)=x+5
None of the above
Why is it important to know if a function is a one-to-one function?
It is easier to find the inverse of the function.
It's inverse is not a function.
One-to-one function passes vertical and horizontal line test.
One-to-one function has an inverse function.
What is the inverse of the given coordinates: (1, 2) (3, 4) (5, 6)
(-1, 2) (-3, 4) (-5, 6)
(2, 1) (4, 3) (6, 5)
(-2, -1) (-4, -3) (-6, -5)
(1, -2) (3, -4) (5, -6)
TRUE or FALSE: The graph shown here has an inverse function.
TRUE
FALSE
