The graph of the exponential function h in thexy-plane, where y h x= ( ), has a y-intercept of d,where d is a positive constant. Which of thefollowing could define the function h
Question
The graph of the exponential function h in thexy-plane, where y h x= ( ), has a y-intercept of d,where d is a positive constant. Which of thefollowing could define the function h
Solution
The exponential function h(x) can be written in the form h(x) = a*b^x, where a is the y-intercept and b is the base of the exponential.
Given that the y-intercept is d (a positive constant), we can substitute a with d. So, the function h can be defined as h(x) = d*b^x.
The base b can be any positive number except 1. This is because if b = 1, the function would be a constant function (h(x) = d), not an exponential function.
So, the function h could be defined as h(x) = d*b^x, where d is a positive constant and b is any positive number except 1.
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