Question

Pre Calc work, I need help with writing piece wise functions from graphs. Can anyone help? Giving brainliest

Answer 1

The definition of the piece-wise function is:

• $f(x) = 2.5x + 1, -2 \leq x \leq 2$

• $f(x) = -3, 2 < x < 6$.

What is a piece-wise function?

A piece-wise function is a function that has different definitions, depending on the input.

In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:

m = (6 - (-4))/(2 - (-2)) = 2.5.

The y-intercept is of b = 1, hence the rule is:

$f(x) = 2.5x + 1, -2 \leq x \leq 2$

For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:

$f(x) = -3, 2 < x < 6$.

More can be learned about piece-wise functions at brainly.com/question/27262465

#SPJ1