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

Question

asked Nov 18, 2021 14.5k views

1 Answer

Ilmiacs · Answer 1 · 2021-11-23T05:09:48+0000

Answer:

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
$y = \left | x \right |$