Free Printable Unit 4A - Skills Check 2

1.

Which of the following best describes the vertex of a quadratic function?

a)

The point where the graph changes direction

b)

The point where the graph crosses the x-axis

c)

The point with the maximum y-value only

d)

The point with the minimum x-value only

2.

Select the correct interval for the domain of the quadratic function f(x) = x^2 - 6x + 5.

a)

[0, ∞)

b)

[5, ∞)

c)

(-∞, 0]

d)

(-∞, ∞)

3.

What is the range of this functions?

a)

-6 ≤ y ≤ 3

b)

-6 < y < 3

c)

-2 ≤ y ≤ 4

4.

What is the domain of the following graph?

a)

(-∞,∞)

b)

(-∞,4]

c)

(-∞,3]

d)

[-2.5,4]

5.

What is the domain of the following graph?

a)

(-∞,∞)

b)

(-∞,4]

c)

(-∞,3]

d)

[-2.5,4]

6.

Identify where the function is negative.

a)

$x<-3,\ \ \ x\ >3$

b)

$-3<x<3$

c)

All Real Numbers

7.

Determine the interval in which this function is DECREASING.

a)

(-∞, 2]

b)

[2, ∞)

c)

[2, -∞)

d)

(-∞, 1]

8.

Describe the end behavior of the graph.

a)

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

b)

x →∞, y→∞ and x→⁻∞, y→∞

c)

x →∞, y→∞ and x→⁻∞, y→0

d)

x →∞,y→∞ and x→⁻∞, y→⁻∞

9.

What is the decreasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

10.

What is the negative interval of the function?

a)

$\left(-2,1\right)$

b)

$\left[-2,1\right]$

c)

$\left(0,-4\right)$

d)

$\left(-1,0\right)$

e)

$\left(-2,0\right)$

11.

Which of the following functions has a negative interval of (-2,1)

a)

b)

c)

d)

12.

3. What are the increasing and decreasing intervals of: $x^2-9x\ +\ 20$

a)

Increasing: $\left(4.5,\ \infty\right)$

Decreasing: $\left(-\infty,\ 4.5\right)$

b)

Increasing:

\left(-.25,\ \infty\right)

Decreasing:

\left(-\infty,-.25\right)

c)

Increasing: $\left(-\infty,\ 4.5\right)$

Decreasing: $\left(4.5,\ \infty\right)$

d)

Increasing:

\left(-\infty,\ -.25\right)

Decreasing:

\left(-.25,\ \infty\right)

13.

4. What is the domain and range of the function below: $-x^2+10x\ -\ 21$

a)

Domain: All Real Numbers

Range: $\left[4,\ \infty\right)$

b)

Domain: All Real Numbers

Range: $\left[5,\ \infty\right)$

c)

Domain: $\left[5,\ \infty\right)$

Range:

d)

Domain: All Real Numbers

Range: $\left(-\infty,\ 4\right]$

14.

8. What are the positive and negative intervals of: $x^2+12x\ +45$

a)

Positive: $\left(-\infty,\ \infty\right)\ or\ All\ Real\ Numbers$

Negative: $Never!$

b)

Positive: $\left(-\infty,\ \infty\right)\ or\ All\ Real\ Numbers$

Negative: $\left(-6,\ 9\right)$

c)

Positive: $Never!$

Negative: $\left(-\infty,\ \infty\right)\ or\ All\ Real\ Numbers$

d)

Positive: $Never!$

Negative: $\left(-6,\ 9\right)$

15.

1. What is the domain and range of the function below: $x^2-9x\ +\ 20$

a)

Domain: All Real Numbers

Range: $\left[-.25,\ \infty\right)$

b)

Domain: All Real Numbers

Range: $\left[3.5,\ \infty\right)$

c)

Domain: $\left[3.5,\ \infty\right)$

Range:

d)

Domain: All Real Numbers

Range: $\left(-\infty,\ -.25\right]$

Unit 4A - Skills Check 2

Total questions: 15

Worksheet time: 11mins

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