Algebra 2 Unit 6 Lesson 7

11) If x=4-5i and y=-4-7i, what is x+y?

-12i

10) If x=3+5i and y=-2+7i ,what is y-x?

-5+2i

2) Choose the best answer. You can determine if the inverse of a polynomial function is a function by using the ____ line test on the polynomial function.

Horizontal

horizontal line test

If every horizontal line intersects a graph of a function just once, then the function is one-to-one and therefore an inverse function exists.

vertical line test

If every vertical line intersects a graph just once, the graph is of a function.

8) Apply the horizontal or vertical line test to determine if the inverse of the function will be a function. Is the inverse of the function a function? _____

No

4) Determine the inverse of the function by interchanging the variables and solving for y in terms of x y=2x+3

y=1/2x-3/2

5) Determine the inverse of the function by interchanging the variables and solving for y in terms of x. y=1/2x-3/2

y=2x+3

3) Choose the best answer. The graph of the inverse of a polynomial function is the reflection of the graph of the polynomial function over the line ___.

y=x

7) Determine the inverse of the function by interchanging the variables and solving for y in terms of x y=x'2-1

y=±√x+1

4) Determine the inverse of the function by interchanging the variables and solving for y in terms of x y=4x'2

y=±√ˣ/₂

1) Choose the best answer. You can determine if the inverse of a polynomial function is a function by using the ____ line test on the inverse.

Vertical

9) Apply the horizontal or vertical line test to determine if the inverse of the function will be a function. Is the inverse of the function a function? _____

Yes