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2 years ago

Express the function graphed on the axes below as a piecewise function.

Mathematics

1 answer:

MissTica2 years ago

7 0

The piecewise function graphed on the axes is defined as follows:

f(x) = -2x + 5, x ≤ 1.

f(x) = 2x - 4, x > 4.

<h3>What is a piecewise function?</h3>

A piecewise function is a function that has different definitions, depending on the input.

For x up to 1, we have that there is a linear function with an intercept of 5 and a slope of -2, hence the definition is:

f(x) = -2x + 5, x ≤ 1.

For x greater than 4, we have a linear function with a slope of 2, hence:

f(x) = 2x + b.

When x = 5, f(x) = 6, hence the value of b is found as follows:

6 = 2(5) + b

10 + b = 6.

b = -4.

Hence the second definition is:

f(x) = 2x - 4, x > 4.

More can be learned about piecewise functions at brainly.com/question/27262465

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Answer:

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