Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the vo
1 answer:
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0
The y-intercept is the point (0,1)
so
The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1
point (1,2)
For x=2
point (2,4)
For x=3
point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
1.
was moved 4 units right and 1 unit down
2.
was moved 3 units up
3.
was moved 6 units right, scaled down along the y-axis 4 times and moved 8 unit up
4.
is moved 3 units right, reflected over the x-axis and moved 2 units up
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2.
3.
4.
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