Power and Root Functions Quiz

Solve the equation 2x^3 = 16 for x.

• x = 2

• x = 8

• x = 6

• x = 4

Graph the function f(x) = √x and identify its domain and range.

• The domain is x ≤ 0 and the range is y ≤ 0.

• The domain is x > 0 and the range is y > 0.

• The domain is x < 0 and the range is y < 0.

• The domain is x ≥ 0 and the range is y ≥ 0.

Explain a real-life scenario where power functions are used.

• Calculating electrical power or population growth rate

• Calculating the distance between two points

• Determining the weight of an object

• Measuring the speed of a car

Solve the equation 3^(2x-1) = 27 for x.

• 8

• 6

• 2

• 4

Graph the function g(x) = x^2 - 4x + 4 and identify its domain and range.

• The domain is all real numbers and the range is all real numbers less than or equal to 0.

• The domain is all real numbers and the range is all real numbers.

• The domain is all real numbers and the range is all real numbers greater than 0.

• The domain is all real numbers and the range is all real numbers greater than or equal to 0.

Provide an example of a word problem involving a root function.

• If a plant grows at a rate of √(t+1) inches per month, how tall will it be after 9 months?

• Calculate the value of √16 + √25

• Solve for x: √(x+5) = 10

• What is the square root of 100?

Find the value of x in the equation 5x^2 = 125.

• x = 10

• x = ±5

• x = -25

• x = 3

Graph the function h(x) = 1/x and identify its domain and range.

• Domain: All real numbers except x = 1, Range: All real numbers except y = 1/x

• Domain: All real numbers except x = 0, Range: All real numbers except y = 1

• Domain: All real numbers except x = 0, Range: All real numbers except y = 0

• Domain: All real numbers except x = 1, Range: All real numbers except y = 1

Explain how power and root functions are used in engineering.

• Power and root functions are only used in literature, not engineering.

• Power and root functions are only used in mathematics, not engineering.

• Power and root functions are used to represent relationships and calculate values in engineering.

• Power and root functions are not used in engineering at all.

A rectangular garden has an area of 100 square meters. If the length of the garden is 10 meters, what is the width of the garden?

• 10 meters

• 20 meters

• 5 meters

• 50 meters