Question

-intercept at (0,2)graph approaches negative infinity as x increasesy-intercept at (0,1)graph approaches O as x increasesy-intercept at (0,2)graph approaches O as x increasesy-intercept at (0,2)graph approaches positive infinity as x increases-intercept at (0,1)graph approaches positive infinity as x increases

Answer 1

Answer: $\begin{gathered} a)\text{ y-intercept is at \lparen0, 2\rparen} \\ graph\text{ approaches 0 as x increases \lparen3rd option\rparen} \\ \\ b)\text{ y-intercept is at \lparen0, 1\rparen} \\ graph\text{ approaches positive infinity as x increases \lparen last option\rparen} \end{gathered}$

Explanation:

Given:

$\begin{gathered} y\text{ = 2\lparen}\frac{1}{2})^x \\ y\text{ = 3}^x \end{gathered}$

To find:

to match each given function with its description

$\begin{gathered} y\text{ = 2\lparen}\frac{1}{2})^x \\ The\text{ y-intercept is at y = 2} \\ The\text{ y-intercept is the value of y when x = 0} \\ In\text{ ordered form, the y-intercept \lparen x, y\rparen: \lparen0, 2\rparen} \\ \\ Graph\text{ approaches 0 as x increases} \end{gathered}$

$\begin{gathered} y\text{ = 3}^x \\ y\text{ intercept is at y = 1} \\ The\text{ y-intercept in orderd form \lparen x, y\rparen: \lparen0, 1\rparen} \\ \\ As\text{ x increases, graph approaches positive infinity} \end{gathered}$