Answered

Find the best solutions to your problems with the help of IDNLearn.com's experts. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

What is the [tex]\( y \)[/tex]-intercept of the function [tex]\( f(x) = -\frac{2}{9}x + \frac{1}{3} \)[/tex]?

A. [tex]\(\frac{2}{9}\)[/tex]

B. [tex]\(\frac{1}{3}\)[/tex]

C. [tex]\(\frac{1}{3}\)[/tex]

D. [tex]\(\frac{2}{9}\)[/tex]

Sagot :

GinnyAnsweridn
To find the [tex]\( y \)[/tex]-intercept of the function [tex]\( f(x) = -\frac{2}{9} x + \frac{1}{3} \)[/tex], we need to determine the value of the function when [tex]\( x = 0 \)[/tex].

The [tex]\( y \)[/tex]-intercept of a function [tex]\( f(x) \)[/tex] is the point where the function crosses the [tex]\( y \)[/tex]-axis. This occurs when [tex]\( x = 0 \)[/tex], so we evaluate the function at this point:

[tex]\[ f(0) = -\frac{2}{9}(0) + \frac{1}{3} \][/tex]

Since any number multiplied by zero is zero, this simplifies to:

[tex]\[ f(0) = 0 + \frac{1}{3} = \frac{1}{3} \][/tex]

Therefore, the [tex]\( y \)[/tex]-intercept of the function [tex]\( f(x) = -\frac{2}{9} x + \frac{1}{3} \)[/tex] is [tex]\( \frac{1}{3} \)[/tex].

So, the correct answer is:

[tex]\(\boxed{\frac{1}{3}}\)[/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.