Question

What statement correctly describes the key features of the graph of f(x) = 4(1/2)^(x + 1) − 3?
Y-intercept of (0, −1), starts up on the left, gets closer to y = −3 on the right
Y-intercept of (0, −1), starts down on the left, gets closer to y = −3 on the right
Y-intercept of (0, 1), starts up on the left, gets closer to y = −3 on the right
Y-intercept of (0, 1), starts down on the left, gets closer to y = −3 on the right

Answer 1

@Albany_Goon

Answer 2

to work out the y intercept put x = 0 into f(x) and work it out

Answer 3

= 4(1/2)^(0+1) - 3 = ?

Answer 4

Okay did it now how do I solve?

Answer 5

what value did you get ?

Answer 6

= 4(1/2)^(0+1) - 3
= 2^1 - 3

Answer 7

-1

Answer 8

right

Answer 9

Now what?

Answer 10

so work out some values of f(x) for negative x's
like x = -2 2

f(-2) = 4 (1/2)^(-2+1) - 3 = 4 / (1/2) -3 = 5
f(-3) = 4(1/2)^-2 - 3 = 4 / 1/4 - 3 = 13

so the left side of the curve will descend pretty steeply

Answer 11

Oh okay so what's next?