Question

A function f(x) = 13/4x + 6 is given. find the x and y intercepts and plot of the graph

Answer 1

Given the function:

`f(x)=(-3)/(4)x+6`

First, we find the intercepts.

When x=0:

`\begin{gathered} f(x)=(-3)/(4)x+6 \\ f(0)=(-3)/(4)(0)+6=6 \\ \implies(0,6) \end{gathered}`

The y-intercept is at (0,6).

When y=0:

`\begin{gathered} f(x)=-(3)/(4)x+6 \\ 0=-(3)/(4)x+6 \\ (3x)/(4)=6 \\ x=6*(4)/(3) \\ x=8 \\ \implies(8,0) \end{gathered}`

The x-intercept is at (8, 0).