Free Printable 6.3 Characteristics Practice

Worksheets

6.3 Characteristics Practice

Total questions: 40

Worksheet time: 4hrs 24mins

Name

Class

Date

Does this graph have a maximum or minimum value?

maximum

minimum

neither

both

The graph represents a function.

true

false

Which best describes the increasing and decreasing of the graph?

Decreasing and then increasing

Increasing and then decreasing

Increasing Only

Decreasing Only

Describe the following graph.

Increasing

Decreasing

Vertical

Horizontal

What is the definition of a function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

Determine which type of function the following is:

Linear

Quadratic

Exponential

Not a function

Determine which type of function the following is:

Linear

Quadratic

Exponential

Not a function

What kind of Function is y = -5x + 17 ?

Linear

Absolute Value

Quadratic

Exponential

None of the above

The graph of a quadratic function is called a

Parabola

Line

Curve

Piecewise

10.

Which type of Function will always have a Constant Rate of Change

Quadratic

Linear

Exponential

All of the Above

11.

A Quadratic Function will always

Have a max or min

Have symmetry

Both increase and decrease

All of the Above

12.

This function is

increasing

decreasing

increasing then decreasing

decreasing then increasing

13.

All of the y values or outputs are called what?

Domain

Range

Relation

Function

14.

All of the x values or inputs are called what?

Domain

Range

Relation

Function

15.

Which of the following graphs appropriately marks the axis of symmetry?

16.

What are the characteristics of linear functions?

Linear functions have a constant rate of change and a straight line graph.

Linear functions have a negative rate of change and a parabolic graph.

Linear functions have an exponential rate of change and a zigzag graph.

Linear functions have a variable rate of change and a curved graph.

17.

What are the characteristics of quadratic functions?

Quadratic functions have a V-shaped graph.

Quadratic functions are made up of lines

Quadratic functions can only be written in the form f(x) = ax^2 + bx + c^2.

Quadratic functions are second-degree polynomial functions that have a U-shaped graph called a parabola and can be written in the form f(x) = ax^2 + bx + c.

18.

What function family do I belong to?

Linear

Exponential

Quadratic

Linear Absolute Value

19.

Which function family is represented by this equation?

Linear

Exponential

Quadratic

Absolute Value

20.

Which function is exponential and decreasing?

21.

Is the table linear, exponential or neither?

Linear

Exponential

Neither

22.

Pick a function that best models the following situation: The speed of a roller coaster from start to finish.

Exponential

Linear

Quadratic

Neither

23.

This function has a common ratio

Linear

Quadratic

Exponential

None of the above

24.

What is the y-intercept?

(0,7)

(0, 0)

(0,1)

(0, 2)

25.

This function has a common second difference.

Linear

Quadratic

Exponential

None of the above

26.

What is the y-intercept of the function: $f\left(x\right)=2\left(4\right)^x$ ?

$\left(4\right)^x$

27.

What is the initial value of f(x)= a⋅b^x

28.

Write the equation of the exponential function for the given table.

HINT: STAT EDIT STAT --> CALC #0

$y=3^x$

$y=12\left(3\right)^x$

$y=3\left(4\right)^x$

$y=4\left(3\right)^x$

29.

The table shows some of the points on the graph of a quadratic function.

What is the range of the quadratic function?

All real numbers greater than or equal to $-1$

All real numbers less than or equal to $3$

All real numbers less than or equal to $-3$

All real numbers greater than or equal to $-7$

30.

What is the range of this function?

-4 ≤ y ≤ 5

-1 ≤ x ≤ 3

All Real Numbers

y ≥ -4

31.

What is the range of this function?

y > 2

y > 0

y < 2

All real numbers

32.

What is the equation of the horizontal asymptote for following exponential function?

y = 1

y = 2

y > 1

(0, 2)

33.

For the linear graph, identify the slope and y-intercept and write the slope-intercept form of the equation.

Slope (m) = -1/2

y-intercept (b) = 4

y = -1/2x + 4

Slope (m) = 1/2

y-intercept (b) = 4

y = 1/2x + 4

Slope (m) = -2/1

y-intercept (b) = 4

y = -2x + 4

34.

Which equation best represents the graph?

y = 2(x - 4)² + 5

y = 2(x + 4)² + 5

y = -2(x - 4)² + 5

y = -2(x + 4)² + 5

35.

Write the equation of the exponential function for the given graph.

y = 2(2)^x

y = 2(1)^x

$y=1\left(\frac{1}{2}\right)^x$

y = 1(2)^x

36.

What type of function is this and why?

Linear Function ; common 1st difference

Quadratic Function ; common 2nd difference

Exponential Function; common ratio

Not a Function

37.

What type of function does this equation represent?
$f\left(x\right)=\left(x+1\right)\left(x-3\right)$

Linear Function

Quadratic Function

Exponential function

Not a Function

38.

All Exponential Functions have a ________________.

Common Ratio

Common 1st Difference

Common 2nd Difference

None of these

39.

Consider the functions $f\left(x\right)=3+10x$ , $g\left(x\right)=2^x$ and $h\left(x\right)=5x^2$ .

Which function will have the greatest output when x=5

$f\left(x\right)$

$g\left(x\right)$

$h\left(x\right)$

40.

What type of function can model the story below?

The value of a rare collectable item is appreciating at 15% per year.

Linear because this has a constant rate of change.

Exponential because this grows at a constant percent rate

Quadratic because this is a projectile motion model

Reset

6.3 Characteristics Practice

Total questions: 40

Worksheet time: 4hrs 24mins

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