Question

Consider the y-intercepts of the functions. F(c)=1/5lx-15l, g(x) =(x-2)2, the y-coordinate of the greatest y-intercept is ______

Answer 1

Answer: 4

Step-by-step explanation:

Given functions:

$f(x)=\dfrac{1}{5}|x-15|\\\\ g(x)=(x-2)^2$

We know that the y--intercept of a function is the value of the function at x=0.

so, put x=0 in both the functions.

The y-coordinate of the y-intercept of f(x) = $f(0)=\dfrac{1}{5}|0-15|=\dfrac{15}{5}=3$

The y-coordinate of the y-intercept of g(x) = $g(0)=(0-2)^2=2^2=4$

As 4 > 3, that means he y-coordinate of the greatest y-intercept is 4.