Comparing Properties of Functions

Marion compared the y-intercept of the function, f(x), shown in the table, to the y-intercept of the function, g(x), on the graph.

What is the distance between the y-intercepts of f(x) and g(x)?

• 0 units

• 4 units

• 12 units

• 20 units

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

What type of function is f(x)=2(3^x) ?

• Quadratic

• Linear

• Exponential

Is the graph linear, exponential or neither?

• Linear

• Exponential

• Neither

Which statement is true about the two given functions?

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

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

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

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

Which statement about the functions is true?

• A.

  The rate of change for Function J is equal to the rate of change for Function K.

   

• B.

  The y-intercept of Function J is greater than the y-intercept of Function K.

• C.

  The y-intercept of Function J is equal to the y-intercept of Function K.

• D.

  The rate of change for Function J is greater than the rate of change for Function K.

Which statements about the two functions are true?

Select all that apply.

• The 2 functions have the same rate of change.

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

• The rate of change for A is negative.

• The two functions would create a set of perpendicular lines if graphed.

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

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