Based on the characteristics of linear and piecewise functions, the piecewise function [tex]f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.[/tex] is shown in the graph attached herein. (Correct choice: A)
How to determine a piecewise function
In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:
y = m · x + b (1)
Where:
- x - Independent variable.
- y - Dependent variable.
- m - Slope
- b - Intercept
By direct observation and by applying (1) we have the following piecewise function:
[tex]f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.[/tex]
Based on the characteristics of linear and piecewise functions, the piecewise function [tex]f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.[/tex] is shown in the graph attached herein. (Correct choice: A)
To learn more on piecewise functions: https://brainly.com/question/12561612
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