Find f(0), if not supplied, and then find the equation of the given linear function.
x 1 2 3 4
f(x) 5 8 11 14
f(0) =

Incorrect: Your answer is incorrect.
f(x) =

Incorrect: Your answer is incorrect.

Respuesta :

Answer:

Part 1) [tex]f(0)=2[/tex]

Part 2) [tex]f(x)=3x+2[/tex]

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

[tex]f(0)=2[/tex]

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)

[tex]m=(8-5)/(2-1)=3[/tex]

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

[tex]f(x)=mx+b[/tex]

we have

[tex]m=3\\b=2[/tex]

substitute

[tex]f(x)=3x+2[/tex]

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