Question

how do i graph -2^(-x)

exponential functions?

Answer 1

like when i try to graph it on the calculator.. nothing comes up??!?

Answer 2

and i need to know how to graph without a calculator

Answer 3

Let \(\large f(x) = 2^x\).

What would \(-f(-x)\) looks like?

Answer 4

\(-f(x)\) is flipped vertically from \(f(x)\)
\(f(-x)\) is flipped horizontally from \(f(x)\)

Answer 5

yeah, i understand that.

Answer 6

uh

Answer 7

it would be both right?

Answer 8

https://www.desmos.com/calculator/vytfouj10h

Answer 9

Yeah, so \(-2^{-x}\) looks like \(2^x\) but flipped across x-axis then across y-axis.

Answer 10

ohh, but home come when i plug values for x, it doesn't go that way?

Answer 11

how come*

Answer 12

Perhaps because you graphed \((-2)^{-x}\)?

Answer 13

\[\Large -2^{-x}=-(2)^{-x}\neq(-2)^{-x}\]

Answer 14

oh okay, i got it thank you

Answer 15

No problem