Which of the following represents the graph of f(x) = 2^x - 3 ?
would it be the third graph?
Try plugging in points to check.
If you have multiple choice answers, you might as well check the solutions.
What happens when x is 0, what happens at x=2 at x=2 at x=3? What happens when x=-1. See which graph matches the numbers that you compute.
the first?
Evaluate the function for x = 0 and find where it cuts the y-axis. Of the four options, you'll know which is the answer when you do this. Assuming you use graphing software, check out the following link: http://www.wolframalpha.com/input/?i=y+%3D+%282%5Ex%29++-+3
Graphing software is completely unnecessary. This can be solved with mental arithmetic.
Anything to the zeroth power (except zero of course) = 1, so when x=0, y = 1-3 = -2, so the graph cuts at (0,-2).
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