12 Basic Functions Wrap Up

12 Basic Functions Wrap Up

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Multiple Choice

Identify the given function.

• $$y=\ln x$$

• $$y=\frac{1}{1+e^{-x}}$$

• $$y=\sqrt{x}$$

• $$y=x^3$$

Multiple Choice

Identify the given function.

• $$y=e^x$$

• $$y=\ln x$$

• $$y=\sqrt{x}$$

• $$y=int\left(x\right)$$

Multiple Choice

The graph shown is just a "piece" of one of the 12 basic functions - the entire domain is not graphed. Which function is this a piece of?

• $$y=x^2$$  

• $$y=x^3$$  

• $$y=e^x$$  

• $$y=\ln x$$  

• $$y=\left|x\right|$$  

Multiple Choice

The graph shown is just a "piece" of one of the 12 basic functions - the entire domain is not graphed. Which function is this a piece of?

• $$y=\ln x$$

• $$y=x^2$$

• $$y=\sqrt{x}$$

• $$y=\frac{1}{1+e^{-x}}$$

Multiple Choice

The graph shown is just a "piece" of one of the 12 basic functions - the entire domain is not graphed. Which function is this a piece of?

• $$y=e^x$$

• $$y=x^3$$

• $$y=x^2$$

• $$y=\left|x\right|$$

Multiple Select

Which of the following are unbounded?  Select all that apply.

• $$y=\left|x\right|$$  

• $$y=x^{3\ }$$  

• $$y=e^{x\ }$$  

• $$y=\frac{1}{x}$$  

• $$y=\ln x$$  

Multiple Select

Which of the following have an infinite discontinuity?  Select all that apply.

• $$y=\left|x\right|$$  

• $$y=x^{3\ }$$  

• $$y=e^{x\ }$$  

• $$y=\frac{1}{x}$$  

• $$y=\ln x$$  

Multiple Select

Which of the following are odd functions?  Select all that apply.

• $$y=\left|x\right|$$  

• $$y=x^{3\ }$$  

• $$y=e^{x\ }$$  

• $$y=\frac{1}{x}$$  

• $$y=\ln x$$  

Multiple Select

Which of the following have a domain of

$$\left(-\infty,\infty\right)$$  ?  Select all that apply.

• $$y=\frac{1}{1+e^{-x}}$$  

• $$y=e^x$$  

• $$y=int\ \left(x\right)$$  

• $$y=\frac{1}{x}$$  

• $$y=\cos\ x$$  

Multiple Select

Which of the following have at least one horizontal asymptote?  Select all that apply.

• $$y=\frac{1}{1+e^{-x}}$$  

• $$y=e^x$$  

• $$y=int\ \left(x\right)$$  

• $$y=\frac{1}{x}$$  

• $$y=\cos\ x$$  

Multiple Select

Which of the following have at least one vertical asymptote?  Select all that apply.

• $$y=\frac{1}{1+e^{-x}}$$  

• $$y=e^x$$  

• $$y=int\ \left(x\right)$$  

• $$y=\frac{1}{x}$$  

• $$y=\cos\ x$$  

Multiple Select

Which of the following have a range of

$$\left(-\infty,\infty\right)$$  ?  Select all that apply.

• $$y=\sin\ x$$  

• $$y=\left|x\right|$$  

• $$y=x^{3\ }$$  

• $$y=\ln x$$  

• $$y=\frac{1}{x}$$  

Multiple Select

Which of the following are even functions?  Select all that apply.

• $$y=\cos\ x$$  

• $$y=\left|x\right|$$  

• $$y=x^{3\ }$$  

• $$y=\ln x$$  

• $$y=\frac{1}{x}$$  

Multiple Select

Which of the following functions increase over their entire domain? Select all that apply.

• $$y=\ln x$$

• $$y=x^2$$

• $$y=x^3$$

• $$y=\frac{1}{1+e^{-x}}$$

• $$y=x$$

Multiple Select

Which of the following functions decrease over their entire domain? Select all that apply.

• $$y=\frac{1}{x}$$

• $$y=\sqrt{x}$$

• $$y=\sin x$$

• $$y=-x$$

• $$y=e^x$$