End Behavior or Exponential and Logarithmic Functions

End Behavior of Exponential and Logarithmic Functions.

Multiple Choice

What is the End behavior on the right side

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

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 of the function

•  x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
• x →∞, y→∞ and x→⁻∞, y→2
•  x →∞,y→2 and x→⁻∞, y→∞

Multiple Choice

What is the end behavior of this exponential function?

• $$x\rightarrow-\infty$$ , $$y\rightarrow-1$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow+\infty$$

• $$x\rightarrow-\infty$$ , $$y\rightarrow-\infty$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow-1$$

• $$x\rightarrow-\infty$$ , $$y\rightarrow-1$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow-\infty$$

• $$x\rightarrow-\infty$$ , $$y\rightarrow+\infty$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow-1$$

Multiple Choice

What is the end behavior of this exponential function?

• $$x\rightarrow-\infty$$ , $$y\rightarrow4$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow+\infty$$

• $$x\rightarrow-\infty$$ , $$y\rightarrow-\infty$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow4$$

• $$x\rightarrow-\infty$$ , $$y\rightarrow4$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow-\infty$$

• $$x\rightarrow-\infty$$ , $$y\rightarrow+\infty$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow4$$

Multiple Choice

What is the end behavior of this logarithmic function?

• $$x\rightarrow3^+$$ , $$y\rightarrow+\infty$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow-\infty$$

• $$x\rightarrow3^+$$ , $$y\rightarrow-\infty$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow+\infty$$

• $$x\rightarrow-\infty$$ , $$y\rightarrow+\infty$$

  $$x\rightarrow3^-$$ , $$y\rightarrow-\infty$$

• $$x\rightarrow-\infty$$ , $$y\rightarrow-\infty$$

  $$x\rightarrow3^-$$ , $$y\rightarrow+\infty$$

Multiple Choice

What is the end behavior of this logarithmic function?

• $$x\rightarrow1^+$$ , $$y\rightarrow+\infty$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow-\infty$$

• $$x\rightarrow1^+$$ , $$y\rightarrow-\infty$$

  $$x\rightarrow+\infty$$ , $$y\rightarrow+\infty$$

• $$x\rightarrow-\infty$$ , $$y\rightarrow+\infty$$

  $$x\rightarrow1^-$$ , $$y\rightarrow-\infty$$

• $$x\rightarrow-\infty$$ , $$y\rightarrow-\infty$$

  $$x\rightarrow1^-$$ , $$y\rightarrow+\infty$$

Multiple Choice

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

Multiple Choice

What is the domain?

• x > 1

• y < 1

• x > 1

• y > 1

Multiple Choice

What is the range?

• x > 1

• y < 1

• x > 1

• y > 1

Multiple Select

What is the end behavior on the right? Pick all that apply.

• $$as\ x\ \rightarrow\ \infty$$

  $$f\left(x\right)\ \rightarrow\ \infty$$

• $$as\ x\ \rightarrow\ -\infty$$

  $$f\left(x\right)\ \rightarrow\ -\infty$$

• $$as\ x\ \rightarrow\ 1$$

  $$f\left(x\right)\ \rightarrow\ -\infty$$

• $$as\ x\ \rightarrow\ 1$$

  $$f\left(x\right)\ \rightarrow\ \infty$$

Multiple Choice

What is the ASYMPTOTE for the graph shown?

• y = 3

• y = -3

• y = 0

• y = 2

Multiple Choice

What is the Domain for the graph shown?

• All Real Numbers

• x > 3

• x < 3

• y > 3

Multiple Choice

What is the Range for the graph shown?

• All Real Numbers

• x > 3

• y < 3

• y > 3

Multiple Choice

What is the Range for the graph shown?

• All Real Numbers

• x > 3

• y < 3

• y > 3

Multiple Select

Determine the end behavior - select all that apply.

• $$as\ x\ \rightarrow\ \infty$$

  $$f\left(x\right)\ \rightarrow\ -\ \infty$$

• $$as\ x\ \rightarrow\ \infty$$

  $$f\left(x\right)\ \rightarrow\ \infty$$

• $$as\ x\ \rightarrow\ -\infty$$

  $$f\left(x\right)\ \rightarrow\ 3$$

• $$as\ x\ \rightarrow\ -\infty$$

  $$f\left(x\right)\rightarrow-\infty$$