Question

Which of the following functions represents the following graph?

graph begins in the third quadrant and increases until it levels off at negative 2, negative 1. Then the graph begins to increase again and continues to increase.

f(x) = the square root of the sum of x and 2 – 1

f(x) = (x + 2)2 – 1

f(x) = negative 1 over x plus 2

f(x) = (x + 2)3 – 1

Answer 1

What is graphed is an `odd function`.
See how the tails go in different directions?

The function graphed could be described by \(\large f(x)=x^3\)

But the graph shows a function which does not go through the origin.
It has been shifted `1 down` and `2 to the left`.

To shift our function `1 down` we would subtract 1.
\[\large f(x)=x^3-1\]
To shift it `2 to the left` we would add 2 to x.\[\large f(x)=(x+2)^3-1\]

Answer 2

Nice, Thanks so your saying D?

Answer 3

Can you help with another?