Question

select all the correct answers.

function i is represented by a verbal description, and function ii is given by an equation.

\

$$\begin{tabular}{|c|c|} \\hline \\textbf{function i} & \\textbf{function ii} \\\\ \\hline a function with a unit rate of \\(-\\frac{2}{3}\\) and a \\(y\\)-intercept of \\(-2\\) & \\(y = -\\frac{2}{7}x - 6\\) \\\\ \\hline \\end{tabular}$$

which statements are true about the two functions?

both functions are increasing.
both functions are decreasing.
one function is increasing, and one is decreasing.
both functions have the same \\(y\\)-intercept.
function i has a greater \\(y\\)-intercept than function ii.
function ii has a greater \\(y\\)-intercept than function i.

Explanation:

Analyze Function I

$$
LATEXBLOCK0
$$

Analyze Function II

$$
LATEXBLOCK1
$$

Compare properties

$$
LATEXBLOCK2
$$

Answer:

• Both functions are increasing.
• Both functions are decreasing. (Correct answer)
• One function is increasing, and one is decreasing.
• Both functions have the same \(y\)-intercept.
• Function I has a greater \(y\)-intercept than function II. (Correct answer)
• Function II has a greater \(y\)-intercept than function I.