Step-by-step explanation:
The function is
Correct description is the first option with the exception of point (2,0), it should read (2, 0.5)
On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (2, 0) and then goes up through (1, 2) with an arrow instead of an endpoint. The second line has a closed circle at (2, 6) and goes up through (3, 7) with an arrow instead of an endpoint.The graph is attached
Step-by-step explanation:
The function is
Correct description is the first option with the exception of point (2,0), it should read (2, 0.5)
On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (2, 0) and then goes up through (1, 2) with an arrow instead of an endpoint. The second line has a closed circle at (2, 6) and goes up through (3, 7) with an arrow instead of an endpoint.The graph is attached
Last option
Step-by-step explanation:
Note that when the point is not included in the function is marked with an empty circle, and when the point is included in the function is marked with a filled circle.
From the interval f(x) is represented by the slanted line that cuts the y-axis at
The starting point of the line must be filled and the end point must be empty.
Then, from the interval f(x) is defined by the horizontal line . The starting point of this line is marked with a filled circle because it includes the point
Therefore the correct option is option D or the last graph (from left to right)
Step-by-step explanation:
When x<-2, f(x)=5
When -2<x<3, f(x)=2x+2
When x>3, f(x)=-3
Last option
Step-by-step explanation:
Note that when the point is not included in the function is marked with an empty circle, and when the point is included in the function is marked with a filled circle.
From the interval f(x) is represented by the slanted line that cuts the y-axis at
The starting point of the line must be filled and the end point must be empty.
Then, from the interval f(x) is defined by the horizontal line . The starting point of this line is marked with a filled circle because it includes the point
Therefore the correct option is option D or the last graph (from left to right)
Step-by-step explanation:
When x<-2, f(x)=5
When -2<x<3, f(x)=2x+2
When x>3, f(x)=-3
= -1
= 2
= 5
Step-by-step explanation:
Just took the test
And I gt it right
A piecewise-defined function is one that you define not by a single equation, but by two or more. From the figure, we know that this piecewise-defined function is defined by three equations, so our goal is to find each. Two of these equations are constant functions while the other equation is a linear function. So:
1. FOR THE FIRST CONSTANT FUNCTION:
Keep in mind that for this constant function at x = 2, it isn't defined, that's why we choose the symbol <
2. FOR THE LINEAR FUNCTION:
Keep in mind that for this linear function at x = 3, it isn't defined, that's why we use the symbol <
3. FOR THE SECOND CONSTANT FUNCTION:
Keep in mind that for this constant function at x = 3, it is defined, that's why we choose the symbol ≥
In conclusion, the function is:
A
Step-by-step explanation:
A piecewise-defined function is one that you define not by a single equation, but by two or more. From the figure, we know that this piecewise-defined function is defined by three equations, so our goal is to find each. Two of these equations are constant functions while the other equation is a linear function. So:
1. FOR THE FIRST CONSTANT FUNCTION:
Keep in mind that for this constant function at x = 2, it isn't defined, that's why we choose the symbol <
2. FOR THE LINEAR FUNCTION:
Keep in mind that for this linear function at x = 3, it isn't defined, that's why we use the symbol <
3. FOR THE SECOND CONSTANT FUNCTION:
Keep in mind that for this constant function at x = 3, it is defined, that's why we choose the symbol ≥
In conclusion, the function is:
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