Question

Need help with this question

Answer 1

All you have to do is plug in the given x values. your first equations would read:

f(-3) = 2^(-3)
f(-2) = 2^(-2)
f(-1) = 2^(-1)

these can be solved by moving decimal points or entering them into a calculator. regardless of the method, your answers are:

f(-3) = 0.002
f(-2) = 0.02
f(-1) = 0.2

so just repeat that process to fill in the rest of your table. to graph it, you'll use them as normal (x, y) points:

(-3, 0.002)
(-2, 0.02)
(-1, 0.2)

the graph might be a little difficult, working with such small values, but precision isn't totally important--0.002 will be super close to 0, 0.02 will be slightly further, 0.2 will be slightly further. the smaller values don't matter as much graphically and you'll recognize the graph of a growing exponential as you graph more of the table.