Question

select the correct answer from each drop-down menu.

compare the graphs of function a and function b.

function a
\\(\

$$\begin{array}{|c|c|}\\hline x & y \\\\\\hline -3 & 27 \\\\\\hline -2 & 8 \\\\\\hline -1 & 1 \\\\\\hline 0 & 0 \\\\\\hline 1 & 1 \\\\\\hline 2 & 8 \\\\\\hline 3 & 27 \\\\\\hline\\end{array}$$

\\)

function b
\\(f(x) = \frac{1}{x}\\)

for \\(x > 0\\), the graph of function a is always increasing / decreases then increases / is always decreasing / increases then decreases.
for \\(x > 0\\), the graph of function b is always increasing / decreases then increases / is always decreasing / increases then decreases.

Explanation:

Analyze Function A for \(x > 0\)

$$
LATEXBLOCK0
$$

Analyze Function B for \(x > 0\)

$$
LATEXBLOCK1
$$

Answer:

Question 1

For \(x > 0\), the graph of function A <blank>is always increasing</blank>.

Question 2

For \(x > 0\), the graph of function B <blank>is always decreasing</blank>.