Answer:
The graph will increase at a slower rate.
The y-values will continue to increase as x-increases.
Step-by-step explanation:
Since b > 1, it will be a growth function but the rate of growth would be lesser than before
We want to see what will happen if we reduce the value of the rate of growth in an exponential relation, the correct options are:
The general exponential equation is:
f(x) = A*(b)^x
Where A is the initial value, and b is the rate of growth/decay.
Here we have the function:
f(x) = 10*(2)^x
Notice that b = 2, so this is exponential growth.
Now, what will happen if we decrease the value of b such that this still is greater than 1?
Now let's analyze each statement to see which ones are true:
a) "The graph will begin at a lower point on the y-axis."
False, this only depends on the initial value A, which was not changed.
b) "The graph will increase at a faster rate."
False, as larger is the value of b, faster increases the graph.
c) "The graph will increase at a slower rate."
True, we reduced the value of b, thus, it increases at a slower rate.
d) "The y-values will continue to increase as x-increases."
True, we still have an exponential growth, because b >1.
e) "The y-values will each be less than their corresponding x-values."
False, as we said above, it is an exponential growth.
If you want to learn more about exponential growth, you can read:
https://brainly.com/question/13223520
