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Write a linear function f with the values f(0) = 4 and f(3) = -8.
A function is f(x) =
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Answer 1

To write the linear function, we use the slope formula and the given values of f(0) and f(3). The function is f(x) = -4x + 4.

Step-by-step explanation:

To write a linear function, we can use the formula for a line: y = mx + b, where m is the slope and b is the y-intercept. Given the values f(0) = 4 and f(3) = -8, we can find the slope by using the formula (y2 - y1) / (x2 - x1). In this case, (x1, y1) = (0, 4) and (x2, y2) = (3, -8). The slope is (-8 - 4) / (3 - 0) = -12 / 3 = -4.

Now, we can plug in the slope and one of the points to find the y-intercept. Let's use f(0) = 4. We have the equation 4 = -4(0) + b. This simplifies to 4 = b. Therefore, the linear function is f(x) = -4x + 4.

Learn more about Writing a linear function