Function and Their Slopes

Which function is linear?

• f(x)

• h(x)

• g(x)

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Which statement is true based on the data in the table?

• f(x) is an exponential function

• g(x) is a linear function

• The y-intercept of g(x) is 10

• The slope of f(x) is 3

An online music service lets customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5.00. The total amount of money a customer spends on music in dollars in a single month can be found using the function y = 0.25x + 5. What does the variable x represent in this function?

•  The total amount of money the customer spends on music each month

•  The number of songs the customer downloads each month

• The number of customers that use the music service

• The cost of downloading one song

Which statement is true about the rate of change of the two functions?

• Both functions have negative rates of change.

• Both functions have positive rates of change.

• Function 1 has a negative rate of change, while that of Function 2 is positive.

• Function 1 has a positive rate of change, while that of Function 2 is negative.

For a few months, Dexter recorded the amounts, in fluids ounces, of laundry detergent remaining, y, after he and his family washed x loads of laundry. The equation of the best fit for his data is shown below. Which statement correctly describes the slope of Dexter’s equation of the line of best in the context of the situation?

• The bottle Dexter's family buys hold about 50 fluid ounces of detergent.

• For each load of laundry. Dexter's family uses about 1.6 fluid ounces of detergent.

• With 50 fluid ounces of detergent, Dexter's family can wash about 1.6 loads of laundry.

• With 1.6 bottles of laundry detergent. Dexter's family can wash about 50 loads of laundry.

Which student's number pattern is linear?

• Ashley

• Hector

• Jamal

• Karina

Which of the following statements is true about the functions f(x) and g(x)?

• The y-intercept of the function f(x) is less than the y-intercept of the function g(x).

• The y-intercept of the function f(x) is greater than the y-intercept of the function g(x).

• The y-intercept of the function f(x) is equal to than the y-intercept of the function g(x).

• The y-intercepts cannot be determined.

• slope
• distance
• midpoint
• area

What type of function has a graph that is a line?

• quadratic

• linear

• exponential

• absolute value