Plz Help

Question

1. what is the end behavior of the exponetial function f(x)=3/2*(4/5)^x?

2. use a graph to determine if the exponential function g(x)=-6*5^x is positive or negative and increasing or decreasing

Answer 1

consider (4/5)^x
For positive x's
as x becomes larger , (4/5)^x gets smaller,
e.g. (4/5)^25 = .003777893...
as x gets smaller, (4/5)^x approaches 1
e.g. (4/5)^(.000025) = .9999994421...

for negative x's
as x becomes more negative
(4/5)^x gets larger
e.g (4/5)^-25 = 264.6...
so y = (4/5)^x looks like this:
https://www.wolframalpha.com/input/?i=plot+y+%3D+(4%2F5)%5Ex+from+-10+to+10
The f(x) = 3/2*(4/5)^x would simply be a vertical stretch by a factor of 1.5

For the second make a sketch of y = 5^x
then y = +6(5^x) would be a vertical stretch , but the graph would still be totally above the x-axis
The y = -6(5^x) would reflect that on the x-axis, so what would it look like?

Answer 2

Can you check my answers
1. what is the end behavior of the exponetial function f(x)=3/2*(4/5)^x?
B
2. use a graph to determine if the exponential function g(x)=-6*5^x is positive or negative and increasing or decreasing
A

Answer 3

2. use a graph to determine if the exponential function g(x)=-6*5^x is positive or negative and increasing or decreasing
C

Answer 4

The answers for Lesson 7: Graphing Exponential Functions
27.0990002 Algebra 1 B (EOC 20) Unit 2: Exponents and Exponential Functions are
1. c
2.c
3.a
4.d
5.c
6.b

Answer 5

nunya is correct except number one is b

Answer 6

Aaron is correct, number 1 is b, everything else nunya got correct

.b
.c
.a
.d
.c
.b

Answer 7

Thanks guys!

Answer 8

U guys are right it is
b
c
a
d
c
b
for gaca students trust me i did it and did not listen to them and got 4/6 so trust me it is right!

Answer 9

gaca student is 100% correct