The function to the following piecewise function is the standard equations of the straight line and the parabola.
What is a function?
If we have two sets A and B as:
[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]
Then, function [tex]f:A \rightarrow B[/tex] Is a connection of elements of A to B such that one element of A is connected to only a single element of B, and not many.
The graph firstly shows the two parts, one is parabola and the straight line,
The standard equation for the straight line is;
y=mx+c
The standard equation for the parabola is;
y=ax²+bx+c
The function to the following piecewise function is;
f(x)= y = mx+c , x<3
y=ax²+bx+c x≥3
Hence, the function to the following piecewise function is the standard equations of the straight line and the parabola.
To learn more about the function, refer to the link;
https://brainly.com/question/12431044
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