Introduction to Quadratic Functions

Question 1

Which is a quadratic function?

Revolt · Accepted Answer

C: f(x) = 5x2 – 4x + 5

Question 2

Consider the quadratic function f(x) = x2 – 5x + 6.

Revolt · Accepted Answer

: 1; : -5; : 6

Question 3

Consider the quadratic function f(x) = x2 – 5x + 6.

Revolt · Accepted Answer

: 78842; : -5; : 6

Question 4

Which table represents a quadratic function?

Revolt · Accepted Answer

C: [Image: A 2-column table with 5 rows. The first column is ...]

Question 5

Find f(–2) for the function f(x) = 3x2 – 2x + 7.

Revolt · Accepted Answer

D: 23

Question 6

✔ –2–1/21/22

Revolt · Accepted Answer

A: ✔ –2

Question 7

Evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

Revolt · Accepted Answer

B: –4

Question 8

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

Revolt · Accepted Answer

D: 3

Question 9

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

Revolt · Accepted Answer

C: [Image: On a coordinate plane, solid circles appear on a s...]

Question 10

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

Revolt · Accepted Answer

The exponential function g(x) = 2^x increases at a faster rate than the quadratic function f(x) = x^2 over the interval [0, infinity). By comparing output values, such as f(x): 0, 1, 4, 9, 16 and g(x): 1, 2, 4, 8, 16, we see that the exponential function eventually doubles its way to much higher values. Because exponential growth (doubling) is multiplicative, it will always exceed the growth of a quadratic function as x increases.

Introduction to Quadratic Functions Answers

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