Functions and Volume

Which additional point can be plotted so that the graph continues to represent y as a function of x?

• (1, 0)

• (2, 2,)

• (3, 4)

• (-4, 2)

Which graph shows a function that is increasing at a constant rate?

• [Graph A]

• [Graph B]

• [Graph C]

• [Graph D]

Which point, when added to the set, would form a relation that is not a function?

• (0, 6)

• (4, 2)

• (-6, 8)

• (-8, 10)

What statement about the Plumbers’ charges is true?

• A. The two plumbers have equal hourly rates.

• B. Plumber A has a greater hourly rate.

• C. Plumber A has a greater initial fee.

• D. The two plumbers have equal initial fees.

A function has the following properties: - It is increasing and linear when the value of x is between -5 and -3. - It remains constant when the value of x is between -3 and 0. - It is decreasing and linear when the value of x is between 0 and 3. - It is increasing and nonlinear when the value of x is between 3 and 5. Which graph best represents this function?

• Graph A

• Graph B

• Graph C

• Graph D

A cylinder has volume 78 cm³. What is the volume of a cone with the same radius and height?

• 26 cm³

• 39 cm³

• 156 cm³

• 234 cm³

The graph shows the relationship between the radius and volume for many cones whose height is 6 inches. Select all the true statements about such cones.

• The relationship between radius and volume is linear.

• The relationship between radius and volume is not linear.

• If the radius of the cone doubles, the volume of the cone doubles.

• If the radius of the cone doubles, the volume of the cone is multiplied by 4.

• If the radius of the cone is 2 inches, the volume of the cone is about 25 cubic inches.

A sphere has radius 2.7 centimeters. What is its volume, to the nearest cubic centimeter?

• A. 23

• B. 26

• C. 62

• D. 82

A car traveled 36 miles in 45 minutes. The car traveled at a constant speed. The car continues to travel at this rate, write an equation to determine y, the total number of miles the car will travel, in x hours. Equation ________________________

• y = 48x

• y = 36x

• y = 45x

• y = 60x

• Yes, because the equation is in the form of V = kh, which is a linear equation.

• No, because the equation involves a constant term, which makes it non-linear.

• Yes, because the equation represents a direct proportionality between V and h.

• No, because the equation is quadratic in nature.