Question

Which of the following graphs has the smallest y-intercept and which graph would have the largest maximum as X moves towards 100?

Answer 1

Step 1

Given;

Step 2

`\begin{gathered} y=1.3x \\ y-interecept\text{ is found when we set x=0} \\ y=1.3(0) \\ y-intercept=(0,0) \end{gathered}`
`\begin{gathered} y=(1.3)^x \\ y=(1.3)^0 \\ y=1 \\ y-intercept=(0,1) \end{gathered}`
`\begin{gathered} y=-0.8x+10 \\ y=-0.8(0)+10 \\ y=10 \\ y-intercept=(0,10) \end{gathered}`
`\begin{gathered} y=10(0.8)^x \\ y=10(0.8)^0 \\ y=10 \\ y-intercept=(0,10) \end{gathered}`

Thus,

`y=1.3x\text{ has the smallest y-intercept}`