Plz Help
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
nunya is correct except number one is b
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
Aaron is correct, number 1 is b, everything else nunya got correct
.b
.c
.a
.d
.c
.b
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!
gaca student is 100% correct
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
2. use a graph to determine if the exponential function g(x)=-6*5^x is positive or negative and increasing or decreasing
C
Thanks guys!
1. To determine the end behavior of an exponential function, you need to look at the exponential base and the sign of the coefficient.
- In the given function f(x) = (3/2) * (4/5)^x, the base is (4/5). When the absolute value of the base is less than 1, the exponential function decays or approaches zero as x approaches positive or negative infinity. So in this case, the end behavior of the function is that it approaches zero as x approaches positive or negative infinity.
2. To determine whether an exponential function is positive or negative and increasing or decreasing, you can utilize a graph.
- For the given function g(x) = -6 * 5^x, you can plot the points on a coordinate plane by selecting a few values of x and calculating the corresponding values of y. For example, when x = 0, y = -6 * 5^0 = -6. When x = 1, y = -6 * 5^1 = -30. You can continue this process to obtain more points.
- After plotting these points, you can observe the behavior of the function.
- If all the y-values are positive, then the function is positive. If all the y-values are negative, then the function is negative. If there is a mixture of positive and negative y-values, then the function is neither positive nor negative.
- If the y-values are increasing as x increases, then the function is increasing. If the y-values are decreasing as x increases, then the function is decreasing.
- By analyzing the plotted points, you can determine the sign and behavior of the function g(x).
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?