Characteristics of Linear and Exponential Functions

Characteristics of Linear and Exponential Functions

Graphing Linear Functions

Multiple Choice

Which graph is correct for the given equation?

Multiple Choice

Which graph is correct for the given equation?

Multiple Choice

Which graph is correct for the given equation?

Multiple Choice

Find the slope of the line.

• Undefined

• 0

• 2

• -1

Multiple Choice

Find the slope of the line.

• Undefined

• 0

• 1

• -1

Graphing Exponential Functions

Multiple Choice

Which of the following functions is represented by this graph?

• f(x)=2(1.2)^x

• f(x)=2(0.75)^x

• f(x)=6(0.75)^x

• f(x)= −2(0.75)^x

Multiple Choice

What does the graph represent?

• Exponential Decay

• Exponential Growth

Multiple Choice

Choose the graph that matches the equation:  $f\left(x\right)=4\left(\frac{1}{2}\right)^x$  

Multiple Choice

Is this exponential growth or decay?

• Growth
• Decay

Multiple Choice

Which function matches the graph?

• $y=3^x$

• $y=2^x$
  

• $y=2^x+1$

Multiple Choice

Choose the graph the matches the equation:  $f\left(x\right)=5\left(2\right)^x$  

Asymptotes

Multiple Choice

This is the horizontal line which the values of the function cannot fall below :

• Asymptote

• Growth Factor

• Axis of symmetry

• Curve

Multiple Choice

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Multiple Choice

What is the horizontal asymptote for the graph of

f(x)=13(0.5)^x ?

• y=0.5

• y=13

• y=6

• y=0

Multiple Choice

Name the asymptote.

• x = -4

• y = -3

• y = -4

• y = -2

Multiple Choice

Name the asymptote.

• x = 1

• y = 2

• y = 1

• x = 2

Multiple Choice

Name the asymptote.

• x = -4

• y = -5

• y = -4

• x = -5

Domain

Multiple Choice

What is the domain of this function?

• (0, ∞)

• (-∞, ∞)

• (∞,∞)

• (2, ∞)

Multiple Choice

What is the Domain of this Function?

• (∞,∞)

• [-8,4]

• (-∞,∞)

• [-7,9]

Multiple Choice

What is one true statement about the domain and range of this function?

• The domain and range are the same thing

• The domain is all real numbers and the range isn't

• Both the domain and range are only positive values

• The domain and range both have only negative values

Range

Multiple Choice

What is the range of this function (bottom to top)?

• (-∞, ∞)

• (0, ∞)

• (2, ∞)

• (∞, 2)

Multiple Choice

 $y=-4\left(2\right)^x-3$  

Identify the range of the exponential function.

•  $\left(-3,\infty\right)$  
  

•  $\left(-\infty,-3\right)$  
  

•  $\left(-4,\infty\right)$  
  

•  $\left(-\infty,-4\right)$  
  

Multiple Choice

What is the range of this function (bottom to top)?

• (-∞,∞)

• (-1, -∞)

• (∞, -1)

• (-∞, -1)

Multiple Choice

What is the range of the function shown?

• (0,12)

• (-2, 5)

• (0, ∞)

• (-∞, ∞)

Multiple Choice

What is the Range of this Function?

• (∞,∞)

• [-8,4]

• (-∞,∞)

• [-7,9]

End Behavior

Multiple Choice

Describe the function's end behavior.

• $As\ x\rightarrow+\infty,\ \ f\left(x\right)\rightarrow-\infty$
  $As\ x\rightarrow-\infty,\ \ f\left(x\right)\rightarrow-\infty$
  

• $As\ x\rightarrow+\infty,\ \ f\left(x\right)\rightarrow+\infty$
  $As\ x\rightarrow-\infty,\ \ f\left(x\right)\rightarrow+\infty$
  

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$
  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$
  

• $As\ x\rightarrow+\infty,\ \ f\left(x\right)\rightarrow+\infty$
  $As\ x\rightarrow-\infty,\ \ f\left(x\right)\rightarrow-\infty$
  

Multiple Choice

Which one means left

• x →-∞

• x →∞

Multiple Choice

What is the End behavior on the left side

• x→∞, y→∞

• x→⁻∞, y→∞

• x→⁻∞, y→0

• x→∞, y→⁻∞

Multiple Choice

What is the End behavior on the right side

•  x→∞, y→∞
•  x→⁻∞, y→∞
•  x→⁻∞, y→0
•  x→∞, y→⁻∞

Rate of Change

Multiple Choice

Find the rate of change of the graphed line.

• 1/3

• 3

• -3

• -1/3

Multiple Choice

Find the rate of change given by this table. 

• -2
• -0.67
• 2/9
• 2/3

Multiple Choice

The table models a linear relationship. What is the rate of change in depth with respect to the hours passing?

• 8
• 6
• 1/6
• 14

Multiple Choice

What is the average rate of change of the graph over the interval [-2,0]?

• -3/2

• 2/3

• 3/2

• -2/3

Multiple Choice

What is the rate of change of the equation?

y = -2x - 1

• 2

• -2

• -2x

• -1

Multiple Choice

If  $f\left(x\right)=\left(\frac{1}{2}\right)^x$  , what is the average rate of change over the interval [-4,-2]?

• 6

• -6

• 12

• -12

Multiple Choice

What is the average rate of change between when x = -1 and x = 0?

• -2

• 2

• 1/2

• -1/2

Multiple Choice

Find the rate of change between the points (-2 , 10) & (4 , 14)

• 2/3

• 3/2

• -2/3

• 2/1

Multiple Choice

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 0 to day 5.

• $\frac{1283-2000}{5\ -\ 0}=-143.4$

• $\frac{2000-1283}{5\ -\ 0}=\ 143.4$

• $\frac{5-0}{1283-2000}=-0.007$

• $\frac{5-0}{2000-1283}=0.007$

Multiple Choice

Given the function y = 4x + 3 do the following. Find its average rate of change from x = 2 to x = 5

• 4

• 3

• 12

• 6

Multiple Choice

What is Mrs. Gordon's rate from 0 to 2 seconds?

• 2.5 feet per second

• .4 feet per second

• 5 feet per second

• .2 feet per second

Intercepts

Multiple Choice

What is the y-intercept?

• (0,0)

• (0,1)

• (-3,0)

• (0,-3)

Multiple Choice

What is the x-intercept shown on the graph?

• (2, 0)

• (-2, 0)

• (0, 3)

• (3, 0)

Multiple Choice

Give the x-intercept
3x + 8y = 24

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

What is the y-intercept for the given graph?

• -5

• 5

• 1

• -1

Multiple Choice

What is the x-intercept for the given graph?

• 1
• -2
• 2
• 1/2

Multiple Choice

Given the list of ordered pairs, what is the x-intercept?

(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

• (8,10)

• 8, 3, 0, 4, 9

• (0,8)

• (9,0)

Multiple Choice

What is the x-intercept of the exponential function? 

• (0,1)
• (0,0)
• There is not one

Multiple Choice

What is the y-intercept of the function?

• 2

• 3

• 1

• -2