Question

Choose the graph which matches the function. (5 points)
(x) = 2^x+3

Answer 1

The third graph is the graph of the given function

Explanation:

A simple technique that can be used to identify the graph that matches the given function is; determination of the x and y-intercepts. In this case, determining the y-intercept and then using elimination will suffice in matching the function with its graph. At the y-intercept the value of x is always zero, so we replace x with zero in the right hand side of the equation; y(x) = 2^(0+3) = 8. The graph of the function should therefore cross the y-axis at the point (0,8). The third graph is the graph of the given function.