Find f(0) and then find the equation of the given linear function. x 1 2 3 4 f(x) 6 10 14 18 f(0) = f(x) =

Question

Find f(0) and then find the equation of the given linear function.
x 1 2 3 4
f(x) 6 10 14 18
f(0) =

f(x) =

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Yến Oanh 5 years 2021-07-22T02:33:03+00:00 1 Answers 140 views 0

Answers ( )

  1. giabao
    0
    2021-07-22T02:34:14+00:00
    Reply

    Answer:

    f(0) = 2

    f(x) = 4x + 2

    Step-by-step explanation:

    You can see that the consecutive x-values are producing y-values that increase by 4 each time. Since the change in y is the same every time, we know this is a linear graph because in a continuous linear graph the slope does not change.

    We can use the equation for a line: y = mx + b,

    where m is the slope and b is the y-intercept.

    The slope [m] is calculated by [change in y]/[change in x]. The y-values are increasing by 4 each time x increases by 1. m = 4/1 = 4.

    Once we have found the slope, we can find the value for f(0). The line graph has a positive slope, so to find the value at x=0, we would subtract 4, moving backwards along the line.

    6-4 = 2

    The y-intercept on a line is the y-value for which x = 0. In this case we have already solved for the y-intercept, f(0) = 2.

    Now plug the values into the formula.

    y = mx + b

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