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Write a linear function f with
=1 andf(0) = -4.

User Vignesh VS
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Final answer:

To write a linear function f with f(1) = 1 and f(0) = -4, we can use the slope-intercept form y = mx + b. By substituting the given values, the linear function f(x) = 5x - 4 can be determined.


Step-by-step explanation:

To write a linear function, we need to determine the equation in the form y = mx + b, where m is the slope and b is the y-intercept. Given that f(1) = 1 and f(0) = -4, we can substitute these values into the equation. Let's find the slope first:

Slope = (change in y) / (change in x) = (f(1) - f(0)) / (1 - 0) = (1 - (-4)) / 1 = 5 / 1 = 5.

Now, we substitute the slope and one of the given points into the equation:

f(x) = 5x + b

Substituting f(1) = 1:

1 = 5(1) + b

1 = 5 + b

b = -4

Therefore, the linear function is f(x) = 5x - 4.


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User Chux
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