The graph represents the function f(x) = 10(2)x. How would the graph change if the b value in the equation is decreased but remains greater than 1? Check all that apply. The graph will begin at a lower point on the y-axis. The graph will increase at a faster rate. The graph will increase at a slower rate. The y-values will continue to increase as x-increases. The y-values will each be less than their corresponding x-values.
Answers
Given function is f\left(x\right)=10\cdot2^x
Now we have to find about how would the graph change if the b value in the equation is decreased but remains greater than 1.
Then select correct choice from the given choices.
This function is exponential function of type f\left(x\right)=a\cdot b^x
Where b is called growth factor. So if we decrease value of b then growth will be slow. changing growth factor doesn't change y-intercept.
You can check the sample graph of three functions: Then final answer is given by:
The graph will begin at a lower point on the y-axis. [FALSE]
The graph will increase at a faster rate. [FALSE]
The graph will increase at a slower rate. [TRUE]
The y-values will continue to increase as x-increases. [TRUE]
The y-values will each be less than their corresponding x-values. [FALSE]
