Question

Find f(0), if not supplied, and then find the equation of the given linear function.

Answer 1

Answer:

Part 1) $f(0)=2$

Part 2) $f(x)=3x+2$

Step-by-step explanation:

Part 1) Find f(0)

we know that

Looking at the data in the table

When the value of x increases by 1 unit, the value of y increases by 3 units

therefore

When the value of x decreases by 1 unit from 1 to 0, the value of y would decreases 3 units from 5 to 2

thus

$f(0)=2$

This value represent the y-intercept

Part 2) Find the equation of the given linear

Find the slope

take the points (1,5) and (2,8)

$m=(8-5)/(2-1)=3$

The equation of the line in slope intercept form is equal to

$f(x)=mx+b$

we have

$m=3\\b=2$

substitute

$f(x)=3x+2$