Answer:
The function f has an inverse because it is one-to-one.
Step-by-step explanation:
The condition for a function to have an inverse is that every x coordinate maps to a single y - coordinate. As illustrated by the diagram attached in the second picture, every x value maps to one y value therefore satisfying the condition making the function have an inverse.
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosA = 
= 
= 
, thus
A = 
( ) ≈ 48° → A
Answer:
last one
Step-by-step explanation:
You are swinging A(-1,-2) around the center which in this case is the origin. Keep in mind that points on a circle all have a equal distance from the origin. We don't want the distance from the center to change.
We want the center of that circle to be the origin.
So the answer is the last one:
"Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90° counterclockwise from point A. "
Answer:
x ≈ 58.0°
Step-by-step explanation:
Since the triangle is right use the cosine ratio to solve for x
cos x° = = 
, thus
x = ( ) ≈ 58.0°
