FROM THE GIVEN GRAPH FIND THE INVERSE GRAPH

Use the graph of the function f to create a table of values for the given points. Then create a second table that can be used to find f^-1, and sketch the graph of f^-1 if possible.

Problem 1 :

Solution:

Points from the given graph f(x).

Writing the values of f(x) as set of ordered pairs :

(1, 1) (3, 2) (4, 6) and (6, 7)

Inverse function:

Let f^-1(x) be the inverse of the given function f(x). To get the coordinates of inverse function, we have to exchange the values of x and y.

Points to the plotted to make inverse function.

Writing the values of f^-1(x) as set of ordered pairs :

(1, 1) (2, 3) (6, 4) and (7, 6)

Problem 2 :

Solution:

Points from the given graph f(x).

Writing the values of f(x) as set of ordered pairs :

(-2, -5) (-1, -2) (1, 2) (3, 3)

Inverse function:

Let f^-1(x) be the inverse of the given function f(x). To get the coordinates of inverse function, we have to exchange the values of x and y.

Points to the plotted to make inverse function.

Writing the values of f^-1(x) as set of ordered pairs :

(-5, -2) (-2, -1) (2, 1) (3, 3)

Problem 3 :

Solution:

Points from the given graph f(x).

Writing the values of f(x) as set of ordered pairs :

(3, -2) (4, -3) (-1, 0) (-2, 5)

Inverse function:

Let f^-1(x) be the inverse of the given function f(x). To get the coordinates of inverse function, we have to exchange the values of x and y.

Points to the plotted to make inverse function.

Writing the values of f^-1(x) as set of ordered pairs :

(-2, 3) (-3, 4) (0, -1) (5, -2)

Problem 4 :

Solution:

Points from the given graph f(x).

Inverse function:

Let f^-1(x) be the inverse of the given function f(x). To get the coordinates of inverse function, we have to exchange the values of x and y.

Points to the plotted to make inverse function.

Writing the values of f^-1(x) as set of ordered pairs :

(3, -4) (4, -2) (0, 0) (-1, 3)

Sketch the inverse of the function graphed and the line of reflection What is the domain and range of the original function and it’s inverse

Problem 5 :

Solution :

Marking the points from the given line, we get

(0, 4) and (3, 0)

Points for the inverse function :

(4, 0) and (0, 3)

Problem 6 :

Solution :

Marking the points from the given line, we get

(-3, 1)(-1, 1) (-2, 0) (-4, 4) (0, 4)

Points for the inverse function :

(1, -3)(1, -1) (0, -2) (4, -4) (4, 0)