Exponential Functions Mid-Unit Check In

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: All Real Numbers

  Range: y>0

• Domain: All Real Numbers

  Range: y>1

• Domain: [−2 ,∞)

  Range: y>0

• Domain: (−∞ , ∞)
  Range: $y\ge0$

Is the pictured graph exponential growth, exponential decay, linear or none of these options?

• Exponential growth

• Exponential decay

• Linear

• None of these options

Given y=3^x determine the y-intercept.

• (0,1)

• (0,3)

• No y-intercept

• (0,0)

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x
• y = 50x - 4
• y = (2)^x + 50
• y = 50(1.4)^x

What type of function is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of these options

What is the y-intercept of the function?

• (0,2)

• (0,3)

• (0,1)

• (0,-2)

Is this exponential growth or decay?

• Growth
• Decay

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.
• The amount of grams the material is losing.
• The amount of grams remaining after so many years.
• The initial amount of grams.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?

• After 20 days, there are 49 ants in the colony.

• After 49 days there are 20 ants in the colony.

• The amount of ants times 20 is 49.

• After 20 days the amount of ants remaining decreases by 49.

Is the following function exponential growth, exponential decay, linear, or none of these options?

p(x) = 13x - 5

• Exponential growth

• Exponential decay

• Linear

• None of these options