Answer:
(d) (1, 1)
Step-by-step explanation:
You can plot the points on a graph, or you can evaluate the function.
f(0) = 1/2(2^0) = 1/2
f(1) = 1/2(2^1) = 1
The point (1, 1) is on the graph.
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Additional comment
The function is of the form ...
f(x) = a(b^x)
In this form, 'a' is the "initial value," the y-intercept, the value of f(0). The value 'b' multiplies the function value each time x increases by 1. This means you can easily create a table of points on the graph:
[tex]\left[\begin{array}{c|cccc}x&0&1&2&3\\y&\dfrac{1}{2}&1&2&4\end{array}\right][/tex]
Notice each y-value is 2× the previous one when x increases by 1. The graph is plotted as a smooth curve through these points. A graphing calculator is a handy tool for showing the curve.
