PLEASE HELP
19. Give an example of an exponential function that goes through the point (-3,1).
20. Give an example of an exponential function that has a range (3,∞).

Question

PLEASE HELP
19. Give an example of an exponential function that goes through the point (-3,1). 
20. Give an example of an exponential function that has a range (3,∞).

lochana · Answer

hmm.. did you find a solution?

lochana · Answer

$$1. y =  e^x -3$$

solomonzelman · Answer

that is not an example that goes through (-3,1)

lochana · Answer

hmm.. can you give an example for fist one?

lochana · Answer

oh I got. y = e^(x+3)

lochana · Answer

right?

solomonzelman · Answer

Yes.

solomonzelman · Answer

I made something much more retarded.

$\Large \color{blue}{y=e^{-x}-e^3+1}$

lochana · Answer

what about next one?

solomonzelman · Answer

But mine also works, despite that it looks ridiculous.

lochana · Answer

can you explain how you made that?

solomonzelman · Answer

$\large\color{slate}{\displaystyle y=e^x+3}$

solomonzelman · Answer

e^x is always positive right?

lochana · Answer

yes

solomonzelman · Answer

$e^x\ge0$
and therefore
$e^x+3\ge3$

solomonzelman · Answer

And it can get infinitely large, so thus you get the desired range.

solomonzelman · Answer

We can use $2^x$, or $1.001^x$ with same success.

lochana · Answer

agreed

lochana · Answer

for the second one, look at this graph .
it is y = 1/(x-3|dw:1447121325203:dw|)