Question

What statement correctly describes the key features of the graph of f(x) = −3( one third )x + 1 − 2?

answer choices:

a.Y-intercept of (0, −3), starts down on the left, gets closer to y = −2 on the right

b.Y-intercept of (0, −3), starts up on the left, gets closer to y = −2 on the right

c.Y-intercept of (0, 2), starts down on the left, gets closer to y = −1 on the right

d.Y-intercept of (0, 2), starts up on the left, gets closer to y = −1 on the right

Answer 1

The y-intercept is (0,-3).

Option A is right I just took the 07.06 quiz

Answer 2

A. Y-intercept of (0, −3), starts down on the left, gets closer to y = −2 on the right

Explanation:

We are given the function,
`f(x)=-3((1)/(3))^(x+1)-2`

Now, we know,

'Y-intercept is the point when the graph crosses the y-axis i.e. when x = 0'.

So, we have,

`f(0)=-3((1)/(3))^(0+1)-2`

i.e.
`f(0)=-3((1)/(3))^(1)-2`

i.e.
`f(0)=-1-2`

i.e. f(0)= -3

So, the y-intercept is (0,-3).

Thus, options C and D are not correct.

Moreover, from the figure below, we see that,

The graph starts down on the left and goes closer to y= -2 on the right.

Hence, option A is correct.