graph the given function by making a table of coordinates.\n\n$f(x) = 2^x$\n\ncomplete the table of…

graph the given function by making a table of coordinates.\n\n$f(x) = 2^x$\n\ncomplete the table of coordinates.\n\n| x | -2 | -1 | 0 | 1 | 2 |\n|---|---|---|---|---|---|\n| y | | | | | |\n\n(type integers or fractions. simplify your answers.)
Answer
Explanation:
Step1: Substitute $x = -2$ into the function
$$f(-2) = 2^{-2} = \frac{1}{2^2} = \frac{1}{4}$$
Step2: Substitute $x = -1$ into the function
$$f(-1) = 2^{-1} = \frac{1}{2^1} = \frac{1}{2}$$
Step3: Substitute $x = 0$ into the function
$$f(0) = 2^0 = 1$$
Step4: Substitute $x = 1$ into the function
$$f(1) = 2^1 = 2$$
Step5: Substitute $x = 2$ into the function
$$f(2) = 2^2 = 4$$
Answer:
| x | -2 | -1 | 0 | 1 | 2 |
|---|---|---|---|---|---|
| y | $\frac{1}{4}$ | $\frac{1}{2}$ | 1 | 2 | 4 |