Comparing Slopes and Intercepts of Functions

Which function is linear?

• f(x)

• h(x)

• g(x)

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

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.

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 of the following statements is true about the functions f(x) and g(x), shown in the table and graph below?

• The function f(x) has a greater y intercept than the function g(x)

• The function g(x) has a greater rate of change than the function f(x)

• The function g(x) has a greater y intercept than the function f(x)

• The rate of change for both g(x) and f(x) are equal 

Order these functions according to their slopes from least to greatest.

• A, B, C

• B, A, C

• C, A, B

• Cannot be ordered since two of them have the same slope.

Which statement below is true?

• Function A has a greater slope and y-intercept as Function B.

• Function B has a greater slope and y-intercept as Function A.

• Function A has a greater slope than Function B, but Function B has a greater y-intercept than Function A.

• Function B has a greater slope than Function A, but Function A has a greater y-intercept than Function B.

"Rate of Change" is another word for:

• Initial Value

• Slope

• Change in Y's

• Y-intercept

Who is losing weight at a faster rate?

(a)   is losing weight faster because ​losing (b)   pounds per week is more than losing ​ (c)   pounds per week.

• Valerie

• 2.5

• 2

• Oscar

• 235

• 247

• 4

• 232.5