Question

graph function

\\(f(x) = 2^x\\)

\\(\

$$\begin{array}{c|c|c|c|c|c} x & -2 & -1 & 0 & 1 & 2 \\\\ \\hline y & & & & & \\end{array}$$

\\)

then graph

Explanation:

Evaluate the function at given x-values

Using the Exponential Graphing knowledge point

$$
LATEXBLOCK0
$$

Complete the table of values

Using the Exponential Graphing knowledge point

$$
LATEXBLOCK1
$$

Identify key features for graphing

Using the Exponential Graphing knowledge point

$$
LATEXBLOCK2
$$

Answer:

The completed table of values for the function \(f(x) = 2^x\) is:

$$
LATEXBLOCK0
$$

The graph of the function passes through the points \((-2, 0.25)\), \((-1, 0.5)\), \((0, 1)\), \((1, 2)\), and \((2, 4)\), with a horizontal asymptote at \(y = 0\).