Introduction to Quadratic Functions Assignment

Consider the quadratic function f(x) = -2x2 + 5x - 4. The leading coefficient of the function is .

-2

The graph of f(x) is shown. Estimate f(-3). f(-3) =00.5512.5

12.5

Evaluate the function for an input of 0.

4

Which is the rate of change for the interval between -6 and -3 on the x-axis?

-2

Which is a quadratic function? f(x) = 2x + x + 3 f(x) = 0x2 - 4x + 7 f(x) = 5x2 - 4x + 5 f(x) = 3x3 + 2x + 2

C

Which function increases at a faster rate on 0 to infinity, f(x) = x2 or g(x) = 2x? Explain your reasoning.

Using a table of values, the outputs of f(x) for whole numbers are 0, 1, 4, 9, 16, 25, 36, and so on. For the same input values, g(x) has outputs of 1, 2, 4, 8, 16, 32, and 64. Continuing to double the output each time results in larger outputs than those of f(x). The exponential function, g(x), has a constant multiplicative rate of change and will increase at a faster rate than the quadratic function

Evaluate the function f(x) = -2x2 - 3x + 5 for the input value -3. −22 -4 2 32

B.)

Find f(-2) for the function f(x) = 3x2 - 2x + 7. −13 −1 1 23

D.)

Which is the rate of change for the interval between 2 and 6 on the x-axis? -3 -1/3 1/3 3

D.)

Consider the quadratic function f(x) = x2 - 5x + 6. What are the values of the coefficients and constant in the function? a = b = c =

1 -5 6

Which graph has a rate of change equal to 1/3 in the interval between 0 and 3 on the x-axis?

C.)

Which table represents a quadratic function?

C.)