Question

Identify which of the twelve basic functions listed below fit the description given.

Answer 1

The correct option is;

b. y = x²,
`y = \left | x \right |`

Explanation:

The equations are

1) y = x

`\lim_(x\rightarrow -\infty )f\left (x \right )=-\infty`

2) y = x²

`\lim_(x\rightarrow -\infty )f\left (x \right )=+\infty`

3) y = x³

`\lim_(x\rightarrow -\infty )f\left (x \right )=-\infty`

4)
`y = \left | x \right |`

`\lim_(x\rightarrow -\infty )f\left (x \right )=+\infty`

5) y = 1/x

`\lim_(x\rightarrow -\infty )f\left (x \right )=0`

6) y = eˣ

`\lim_(x\rightarrow -\infty )f\left (x \right )\rightarrow 0`

7) y = √x

`\lim_(x\rightarrow -\infty )f\left (x \right )= \infty√((-1))`

8) y = ㏑x

`\lim_(x\rightarrow -\infty )f\left (x \right )= \infty√((-1))`

9) y = sin x

`\lim_(x\rightarrow -\infty )f\left (x \right )=` undefined

10) y = cos x

`\lim_(x\rightarrow -\infty )f\left (x \right )=` undefined

11) y int (x)

`\lim_(x\rightarrow -\infty )f\left (x \right )=-\infty`

12)
`y = (1)/(1 + e^(-x))`

`\lim_(x\rightarrow -\infty )f\left (x \right )=0`

Therefore, the correct options are y = x² and
`y = \left | x \right |`