Inverse Linear Functions Quiz

What is the inverse of the ordered pair (5, 32)?

• (32, -5)

• (-32, 5)

• (5, -32)

• (32, 5)

How do you find the inverse of a relation given in table form?

• Add 1 to each value.

• Multiply each value by -1.

• Subtract 1 from each value.

• Switch the x and y values in each ordered pair.

When graphing inverse relations, what is a helpful strategy?

• Find and plot the intercepts and points in different quadrants.

• Plot random points.

• Ignore the intercepts.

• Only plot the x-intercept.

What is the first step in finding the inverse of a function algebraically?

• Multiply by -1.

• Switch x and y.

• Replace f(x) with y.

• Solve for x.

In the function f(x) = -3x + 27, what is the inverse function?

• f^(-1)(x) = 1/3x - 9

• f^(-1)(x) = -3x - 27

• f^(-1)(x) = 3x - 27

• f^(-1)(x) = -1/3x + 9

What is the reciprocal of 5/4 used for in finding the inverse function?

• To switch x and y.

• To isolate y by multiplying both sides.

• To subtract from both sides.

• To add to both sides.

What is the inverse of the function f(x) = 5/4x - 8?

• f^(-1)(x) = 5/4x + 8

• f^(-1)(x) = -5/4x + 8

• f^(-1)(x) = 4/5x + 32/5

• f^(-1)(x) = 4/5x - 32/5

What does the inverse function represent in the context of Carter's sales?

• Total sales for the month.

• Commission rate.

• Base salary for the month.

• Total earnings for the month.

If Carter's total earnings for a month are $3,450, what are his total sales?

• $69,000

• $44,000

• $25,000

• $34,500

What is the significance of the inverse function in real-world problems?

• It is irrelevant in practical scenarios.

• It predicts future trends.

• It is used to calculate interest rates.

• It helps determine original values from results.