04.05.2022

What is the piecewise for these?

. 5

Faq

Mathematics
Step-by-step answer
P Answered by PhD
Option A or first option

Step-by-step explanation:

The function is

f(x) = \left \{ {{-1.5x + 3.5, x

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


Which graph represents the piecewise-defined function f(x) = StartLayout enlarged left-brace 1st Row
Mathematics
Step-by-step answer
P Answered by PhD
Option A or first option

Step-by-step explanation:

The function is

f(x) = \left \{ {{-1.5x + 3.5, x

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


Which graph represents the piecewise-defined function f(x) = StartLayout enlarged left-brace 1st Row
Mathematics
Step-by-step answer
P Answered by PhD

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 0\leq x f(x) is represented by the slanted line -x +4 that cuts the y-axis at y = 4

The starting point of the line must be filled and the end point must be empty.

Then, from the interval x \geq 3 f(x) is defined by the horizontal line y = 6. The starting point of this line is marked with a filled circle because it includes the point x = 3

Therefore the correct option is option D or the last graph (from left to right)

Mathematics
Step-by-step answer
P Answered by Specialist

Step-by-step explanation:

When x<-2, f(x)=5

When -2<x<3, f(x)=2x+2

When x>3, f(x)=-3

Mathematics
Step-by-step answer
P Answered by PhD

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 0\leq x f(x) is represented by the slanted line -x +4 that cuts the y-axis at y = 4

The starting point of the line must be filled and the end point must be empty.

Then, from the interval x \geq 3 f(x) is defined by the horizontal line y = 6. The starting point of this line is marked with a filled circle because it includes the point x = 3

Therefore the correct option is option D or the last graph (from left to right)

Mathematics
Step-by-step answer
P Answered by Master

Step-by-step explanation:

When x<-2, f(x)=5

When -2<x<3, f(x)=2x+2

When x>3, f(x)=-3

Mathematics
Step-by-step answer
P Answered by Master

= -1

= 2

= 5

Step-by-step explanation:

Just took the test

And I gt it right

Mathematics
Step-by-step answer
P Answered by Specialist

f(x)=\left\{ \begin{array}{c}5\:If\:-\infty

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:

f(x)=5, \ if \ -\infty

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:

y=mx+b \\ \\ b=2 \\ \\ m=\frac{2-0}{0-(-1)}=2 \\ \\ y=2x+2 \\ \\ f(x)=2x+2 \ if \ -2 \leq x

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:

f(x)=-3, \ if \ x\geq 3

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:

f(x)=\left\{ \begin{array}{c}5\:If\:-\infty

Mathematics
Step-by-step answer
P Answered by Master

f(x)=\left\{ \begin{array}{c}5\:If\:-\infty

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:

f(x)=5, \ if \ -\infty

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:

y=mx+b \\ \\ b=2 \\ \\ m=\frac{2-0}{0-(-1)}=2 \\ \\ y=2x+2 \\ \\ f(x)=2x+2 \ if \ -2 \leq x

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:

f(x)=-3, \ if \ x\geq 3

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:

f(x)=\left\{ \begin{array}{c}5\:If\:-\infty

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