Question

How to graph y=2^x+3

Answer 1

Answer:

  see below

Step-by-step explanation:

It is usually convenient to choose small exponents when graphing an exponential function. You can get a reasonable idea of the shape of the curve using x-values with a magnitude of 3 or less.

The exponential term 2^x has a horizontal asymptote of y=0 for large negative values of x. Adding 3 to that term shifts the horizontal asymptote up to y=3. Of course, everything else is shifted up the same amount.

You know that ...

  2^-1 = 1/2

  2^0 = 1

  2^1 = 2

  2^2 = 4

Adding 3 to these values will give you points on the graph for x=-1 to 2.