F2 (Comparing Properties of Two Functions)

What function with the greater initial value?

• Function A

• Function B

What function with the greater rate of change?

• Function A

• Function B

What function that produces output value of 40 when the input value is 4.

• Function A

• Function B

Function A is a linear function whose graph contains the points (0, 2) and (8, 0).  Function B is represented by the equation y = 4x - 2. Which statement is true? 

• A.

  The rate of change for Function A is greater than the rate of change for Function B.

• B.

  The rate of change for Function A is equal to the rate of change for Function B.

• C.

  The initial value for Function A is greater than the initial value of Function B.

• D.

  The initial value of Function A is equal to the initial value of Function B.

Sam is earning money by mowing lawns, while his friend Will is getting paid to tutor. Sam's money can be represented by the function M = 25w + 75, where w is the number of weeks since Sam began working, and M is the total amount of money possessed in dollars. The table models Will's money and earnings.

Sam's rate of change is __________ Will's rate of change.

• Less than

• Same as

• Greater than

Sam is earning money by mowing lawns, while his friend Will is getting paid to tutor. Sam's money can be represented by the function M = 25w + 75, where w is the number of weeks since Sam began working, and M is the total amount of money possessed in dollars. The table models Will's money and earnings.

Sam's initial amount of money possessed before his mowing job is _____ Will's initial amount before tutoring.

• Less than

• Same as

• Greater than

Which statement is true about the two given functions?

• A.

  f(x) and g(x) have the same value at x = -2

• B.

  f(x) and g(x) have the same value at x = 0

• C.

  f(x) and g(x) have the same value at x = 2

• D.

  f(x) and g(x) have the same value at x = 4

What is/are the characteristics if this function

f(x) = |x - 1| + 1?

• • x intercept is two

• • y intercept is two

• • Minimum value occurs at x=1

What is/are the characteristics in this function shown?

• • x intercept is two

• • y intercept is two

• • Minimum value occurs at x=1

Which linear equation has the same rate of change as line q?

• A.

  -3x +2y = 4

• B.

  x+2y = -12

• C.

  2x - 3y = 2

• D.

  5x - 4y = 1