Question

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

Answer 1

Y-intercept of (0, −3), starts down on the left, gets closer to y = −2 on the right
Y-intercept of (0, −3), starts up on the left, gets closer to y = −2 on the right
Y-intercept of (0, 2), starts down on the left, gets closer to y = −1 on the right
Y-intercept of (0, 2), starts up on the left, gets closer to y = −1 on the right

Answer 2

@pooja195

Answer 3

and you say ... ?!?!

Answer 4

A!

Answer 5

is it:

\(\large f(x) = −3(\frac{1}{3})^{x + 1} − 2\)

Answer 6

yes

Answer 7

\(f(x) = -3 (\frac{1}{3})^x . (\frac{1}{3}) -2 \\ = -(\frac{1}{3})^x -2\)

so \(f(0) = -3\)
and \(f(\infty) = -2\)

i'd have to agree with you

Answer 8

@IrishBoy123 Would the graph start down on the left too?

Answer 9

@ganeshie8

Answer 10

so, if you start with \(\large f(x)=−(\frac{1}{3})^x−2\), then

\(\large f(-100) = −(\frac{1}{3})^{-100}−2 \\ \large = −(\frac{3}{1})^{+100}−2 = −(3)^{+100}−2\)

ie a very large negative number.....

Answer 11

\(f(-1) = -(3)^1 - 2 = -5\)

play with the numbers