Question

HELPPPPP!!

Complete each of the following statements, if
F(x)=(2/3)^x

A. The range of F(x) is ______.
B. The y-intercept of the graph of F(x) is _______.
C. The horizontal asymptote of the grpah of F(x) is the (x-axis/y-axis). Circle one.
D. The graph of F(x) is (increasing/decreasing) from left ot right. Circle one.
E. The value of the _______ determines whether the graph of an exponential function is increasing or decreasing from left to right.

Answer 1

what can I help you with?

Answer 2

I don't know how to find the range of this function. I'm lost. I haven't learned how to do any of this

Answer 3

range is what the output is... Think about the biggest and smallest values that y can be.

Answer 4

can't it be anything??

Answer 5

what x can you put in to get y to be negative?

Answer 6

nothing. it'll always be a positive

Answer 7

so can it be 0?

Answer 8

it could but y would = 1

Answer 9

no, could y be 0?

Answer 10

we're talking about the range, what y can be

Answer 11

oh then yes it could

Answer 12

no it can't... there's no value of x that will make (2/3)^x = 0

Answer 13

is there a maximum value for y?

Answer 14

no there isn't. y can keep on going on and on and on

Answer 15

yes, great...
so y has a bottom and no top,
0 < y < infinity... that's the range

Answer 16

oh I see! thank you! so does that mean that there is no specific y-int?

Answer 17

no, the y intercept always occurs when x = 0. so what;s y when x = 0?

Answer 18

is the horizontal asymptote of the graph of F(x) the y-axis then?? I am so sorry for all the questions

Answer 19

no worries... the hoizontal asymptote is the x axis. the equation for the line that is the x-axis is y = 0. As x goes to infinity, (2/3)^x = y goes to 0.

Answer 20

it never gets there but we can get as close as we want... that's why it an asymptote.

Answer 21

so that means that the graph of F(x) is increasing from left to right??

Answer 22

no... what is y when x = 0?

Answer 23

1

Answer 24

right and what is y when x = 1?

Answer 25

2/3

Answer 26

so as x increases, y increases or decreases?

Answer 27

decreases

Answer 28

right!

Answer 29

Thank You for Alllll Your Help!!

Answer 30

what about the last part...

Answer 31

is it the base?

Answer 32

Awesome!!!