Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Find the [tex]$y$[/tex]-intercept.

[tex]\[ y = \frac{3x - 6}{x + 2} \][/tex]

[tex]\[ (0, [?]) \][/tex]

Hint: Where does the graph cross the [tex]$y$[/tex]-axis? What does [tex]$y$[/tex] equal when [tex]$x = 0$[/tex]?

Submit

Sagot :

GinnyAnswer
To find the [tex]\( y \)[/tex]-intercept of the function, we need to determine the value of [tex]\( y \)[/tex] when [tex]\( x = 0 \)[/tex]. The [tex]\( y \)[/tex]-intercept is the point where the graph of the function crosses the [tex]\( y \)[/tex]-axis.

Given the function:
[tex]\[ y = \frac{3x - 6}{x + 2} \][/tex]

We substitute [tex]\( x = 0 \)[/tex] into the equation to find the [tex]\( y \)[/tex]-intercept:
[tex]\[ y = \frac{3(0) - 6}{0 + 2} \][/tex]

Simplify the expression inside the equation:
[tex]\[ y = \frac{0 - 6}{2} \][/tex]
[tex]\[ y = \frac{-6}{2} \][/tex]
[tex]\[ y = -3 \][/tex]

Thus, the [tex]\( y \)[/tex]-intercept is:
[tex]\[ (0, -3) \][/tex]

The value of [tex]\( y \)[/tex] when [tex]\( x = 0 \)[/tex] is [tex]\(-3\)[/tex]. Therefore, the graph crosses the [tex]\( y \)[/tex]-axis at the point [tex]\((0, -3)\)[/tex].
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.