The piecewise function graphed on the axes is defined as follows:
<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 <u>linear function with an intercept of 5 and a slope of -2</u>, hence the definition is:
f(x) = -2x + 5, x ≤ 1.
For x greater than 4, we have a <u>linear function with a slope of 2,</u> 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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