Select the algebraic definition for the piecewise function graph.A. 2
B. 4
C. -3 is equal to x <-1
D. -1 is equal to x <1
E. 0
F. 1 is equal to x<3
G. -2 is equal to x<5
H. -3 is equal to x<3
I. 3
Select the algebraic definition for the piecewise function graph. A. - 1

Answers

Answer 1
Answer:

The piece-wise function is defined by:

f(x) = 1, -3 \leq x < -1

f(x) = 2, -1 \leq x < 1

f(x) = 3,  1 \leq x < 3

A piece-wise function is a function that has different definitions, based on the input.

In this graph:

  • When x is between -3(inclusive, closed circle) and -1(exclusive, open circle), the value is 1, thus, the first definition is:

f(x) = 1, -3 \leq x < -1

  • When x is between -1(inclusive) and 1(exclusive), the value is 2, thus, the second definition is:

f(x) = 2, -1 \leq x < 1

  • When x is between 1(inclusive) and 3(exclusive), the value is 3, thus, the third definition is:

f(x) = 3, 1 \leq x < 3

A similar problem is given at brainly.com/question/13205719

Answer 2
Answer:

Final answer:

A piecewise function is defined by multiple sub-functions, each applying to a certain interval of the main function's domain. An example might be ' -3 is equal to x <-1', representing a portion of the function where any x-value less than -1 outputs -3.

Explanation:

Without the piecewise function graph, it's difficult to identify the correct algebraic definition. However, a piecewise function is a function which is defined by multiple sub functions. Each sub function applies to a certain interval of the main function's domain, which is why we see conditions like 'x < -1' following the function.

For instance, if we look at option C ' -3 is equal to x <-1', it suggests there is a piece of the function where any x-value less than -1 will output -3. It is important to note that these piecewise functions are visualized on a graph, often appearing as lines or curves that start or stop at certain points.

Learn more about Piecewise Functions here:

brainly.com/question/32038875

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Answers

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Answers

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Answers