Part 1. Graphing Exponential Functions Practice

• Exponential Growth

  (Increasing)

• Exponential Decay

  (Decreasing)

Answer explanation

To tell if a function is Exponential Growth or Exponential Decay, you will need to look at b.

b > 1 = Exponential Growth

(Increasing)

b < 1 = Exponential Decay (Decreasing)

• Exponential Growth

  (Increasing)

• Exponential Decay

  (Decreasing)

Answer explanation

To tell if a function is Exponential Growth or Exponential Decay, you will need to look at b.

b > 1 = Exponential Growth

(Increasing)

b < 1 = Exponential Decay (Decreasing)

• Exponential Growth

  (Increasing)

• Exponential Decay

  (Decreasing)

Answer explanation

To tell if a function is Exponential Growth or Exponential Decay, you will need to look at b.

b > 1 = Exponential Growth

(Increasing)

b < 1 = Exponential Decay (Decreasing)

• Exponential Growth

  (Increasing)

• Exponential Decay

  (Decreasing)

Answer explanation

To tell if a function is Exponential Growth or Exponential Decay, you will need to look at b.

b > 1 = Exponential Growth

(Increasing)

b < 1 = Exponential Decay (Decreasing)

• Exponential Growth

  (Increasing)

• Exponential Decay

  (Decreasing)

Answer explanation

To tell if a function is Exponential Growth or Exponential Decay, you will need to look at b.

b > 1 = Exponential Growth

(Increasing)

b < 1 = Exponential Decay (Decreasing)

True or False?

The ASYMPTOTE is the line that the graph of an exponential function gets close to but never touches or crosses.

• TRUE

• FALSE

Answer explanation

The ASYMPTOTE is the line that the function/graph will get close to but never cross!

It will be a horizontal line meaning it crosses the Y-Axis.

The Asymptote of this graph is Y = 4.

While it looks like it, this graph will never cross that imaginary line at Y=4. In this case, our graph stays right above it

True or False?

The Domain will vary from problem to problem when graphing Exponential Functions.

• TRUE

• FALSE

Answer explanation

True or False?

To find the Y-intercept of a Exponential Function, we set X= 0 and solve.

• TRUE

• FALSE

Answer explanation

Which Exponential Function represents this graph?

(Hint: Is it Growth or Decay? Whats the Asymptote? Y-Intercept?)

Answer explanation

Looking at this graph, it is increasing from left to right so it is an Exponential GROWTH Function meaning b > 1. This eliminates 2 choices.

Looking at this graph, it does not cross the line Y=-5 but it gets close to it. This mean that line is my asymptote.

This would be indicated by whatever I am adding or subtracting in my fuction. In this case I would be subtracting 5.

• Growth

  Domain: All Real Numbers

  Range: Y > 0

  Y-Int: (0, .5)

  Asymptote: Y = .5

• Growth

  Domain: All Real Numbers

  Range: Y > 0

  Y-Int: (0, .5)

  Asymptote: Y = 0

• Decay

  Domain: X > 0

  Range: All Real Numbers

  Y-Int: (0, .5)

  Asymptote: Y = 0

• Decay

  Domain: All Real Numbers

  Range: Y > 0

  Y-Int: (0, .5)

  Asymptote: Y = .5

Answer explanation

Given the function, the first thing you should do is check b. b = 4 here and 4 > 1 meaning this is a growth function.

Domain is ALWAYS all real numbers.

I am not adding or subtracting anything so my asymptote is Y=0 meaning my Range is Y > 0.

When I plug 0 in for X, I get that Y = 0.5 meaning that my Y-intercept is (0, 0.5).