Graphs of Functions

Graphs of Functions

by Benny Boyd

Multiple Choice

What is the domain of the graph?

• 1≤ x ≤ 4
• 1 < x < 4
• 1≤ y ≤ 4
• 1 < y < 4

Multiple Choice

What is the domain and range of the function?

• Domain: x ≤ 6.5; Range: all real numbers

• Domain: all real numbers; Range: y ≤ 6.5

Multiple Choice

What is the domain of F(x)?

• $$-10\le x\le8$$

• $$-7\le x\le2$$

• all real numbers

• $$-10\le y\le8$$

• $$-7\le y\le2$$

Multiple Choice

What is the range of F(x)?

• $$-10\le x\le8$$

• $$-7\le x\le2$$

• all real numbers

• $$-10\le y\le8$$

• $$-7\le y\le2$$

Multiple Choice

What is the range of the graph?

• -2 < y < 10
• -3 < x < 3
• -2 ≤ y ≤ 10
• -3≤ x ≤ 3

Multiple Choice

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

Multiple Choice

Does the following graph have a maximum or minimum.

• Maximum
• Minimum

Fill in the Blank

If f(x)=2(3^x)+1, what is the value of f(2)?

(Substitute and be careful with order of operations)

Enter answer as a number.

Fill in the Blank

Evaluate f(2):

f(x)=3x+1

Enter answer as a number.

Fill in the Blank

If g(x)=2x+5, what is the value of g(4)?

Enter answer as a number.

Fill in the Blank

What is f(6) for the function f(x)=3x-8?

Enter answer as a number.

Fill in the Blank

$$Given\ h\left(x\right)=x^2-4\ what\ is\ h\left(6\right)?$$  

Enter answer as a number.

Multiple Choice

A company is selling bubble gum.  The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum.  Find g(8) and tell what it means within the context of the problem.

• g(8)=8.  This means that after 8 packages of gum, the company makes $8.
• g(8)=42.  This means that 8 packages of gum costs $42.
• g(8)=28.  This means that 8 packages of gum costs $28.
• g(8)=24.  This means that 8 packages of gum costs $24.

Multiple Choice

Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

• Ms. Brackemyer starts with 8 pencils and ends with 52.
• After 8 days, Ms. Brackemyer has 52 pencils.
• Ms. Brackemyer starts with 52 pencils and gets 4 more every day.
• Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

Multiple Choice

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 
• y = 12.5 + 30
• y = 12.5 + 30x

Multiple Choice

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5
• y = 25.5 + 8.5x
• y = 8.5 + 25.5x

Multiple Choice

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

• y = 7x + 20
• y = 7 + 20x
• y = 20 + 7

Fill in the Blank

The height of a water balloon that is launched into the air is given by

h(t) = -5t² + 40t + 2.

Evaluate h(2). Enter your answer as a number.

Fill in the Blank

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds. h = -5t² + 45  Evaluate h(2). Enter your answer as a number.

Fill in the Blank

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function  h = -16t² + 64t + 960.

Evaluate h(2). Enter your answer as a number.

Multiple Choice

What is the value of f(0)?

• -2
• 2
• 4
• 0

Multiple Choice

Using the pictured graph, what is f(-3)? 

• -3
• -1
• 1
• 3

Multiple Choice

What is F(-8)?

• 2

• -4

• -2

• 0