Inverse Sine Function Quiz

What is the initial step to find the inverse of a function?

• Add x and y

• Multiply x and y

• Interchange x and y

• Subtract x from y

Why does the sine function not have an inverse over its entire domain?

• It does not pass the horizontal line test

• It does not pass the vertical line test

• It is not differentiable

• It is not continuous

What is the purpose of reflecting a graph about the line y = x?

• To find the integral

• To find the inverse function

• To find the derivative

• To find the limit

How is the domain of the sine function restricted to find its inverse?

• From -2pi to 2pi

• From -pi/2 to pi/2

• From -pi to pi

• From 0 to pi

What is the range of the inverse sine function?

• From -pi to pi

• From -pi/2 to pi/2

• From 0 to pi

• From -1 to 1

Which notation is incorrect for the inverse sine function?

• y = 1 over sine of x

• y = sine of x raised to -1

• y = arc sine of x

• y = inverse sine of x

In the inverse sine function, what does x represent?

• A value of the sine function

• A radius

• A tangent

• An angle

What angle is obtained when evaluating inverse sine of square root of 3 over 2?

• pi/6

• pi/2

• pi/4

• pi/3

Which quadrant is the angle in when evaluating inverse sine of negative one-half?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

What is the angle range for the inverse sine function?

• From 0 to pi

• From -pi to pi

• From -pi/2 to pi/2

• From -2pi to 2pi