Exponential Functions (Basic Info)

What type of graph is shown?

• Linear

• Absolute Value

• Exponential Decay

• Exponential Growth

Answer explanation

What type of graph is shown?

• Linear

• Absolute Value

• Exponential Decay

• Exponential Growth

Answer explanation

Which type of base would be correct for the graph shown?

 $f\left(x\right)\ =\ a\left(\ ?\ \right)^x$  

•  $\frac{1}{3}$  
  

• 3

Answer explanation

Which type of base would be correct for the graph shown?

 $f\left(x\right)\ =\ a\left(\ ?\ \right)^x$  

• $\frac{1}{3}$
  

• 3

Answer explanation

What is the equation of the asymptote for the given graph?

• x = 0

• x = 3

• y = 0

• y = 3

Answer explanation

You can see the dotted horizontal line that is the asymptote for this graph.

What is the equation of the asymptote for the given graph?

• x = 0

• x = -5

• y = 0

• y = -5

Answer explanation

You can see the dotted horizontal line that is the asymptote for this graph.

What is the domain of the given function?

• All Real Numbers

• x > 4

• x < 4

• x > 4

• x < 4

Answer explanation

The domain of all exponential functions is all real numbers.

The graph will go left and right forever, not skipping any x-values.

What is the range of the given function?

• All Real Numbers

• y > 4

• y < 4

• y > 4

• y < 4

Answer explanation

The range is based on the asymptote and whether the graph exists above or below that line.

The graph NEVER touches the asymptote, so the range can never be "or equal to".

What is the domain and range of the given exponential function?

• Domain: All Real Numbers

  Range: y < 6

• Domain: All Real Numbers

  Range: y > 6

• Domain: All Real Numbers

  Range: y < 6

• Domain: All Real Numbers

  Range: y < 6

Answer explanation

Domain is always all real numbers for this type of function.

The graph NEVER touches the asymptote, so the range can never be "or equal to".

What is the domain and range of the given exponential function?

• Domain: All Real Numbers

  Range: y < -2

• Domain: All Real Numbers

  Range: y > -2

• Domain: All Real Numbers

  Range: y < -2

• Domain: All Real Numbers

  Range: y < -2

Answer explanation

Domain is always all real numbers for this type of function.

The graph NEVER touches the asymptote, so the range can never be "or equal to".