Which rule describes the function in the graph below?
1 answer:
The function that models the graph is given as:
An equation is an expression that shows the relationship between two or more numbers and variables.
The equation shown in the graph represents a piecewise function. Hence:
From the line through the point (-8, 4) and (-2, 2), the equation is f(x) = -(1/3)x + 4/3
From the curve through the point (-2, 2) and (0, 6), the equation is f(x) = -x² + 6
From the line through the point (0, 6) and (4, 6), the equation is f(x) = -6
From the line through the point (4, 6) and (7, 9), the equation is f(x) = x + 2
The function that models the graph is given as:
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For this case we have by definition, that the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We need two points through which the line passes to find the slope:
We found the slope:
So, the equation is of the form:
We substitute a point to find "b":
Finally, the equation is:
Answer:
Option C