Q3B. Determine if each of the equatio... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 1: Q3B. (page 47)

Determine if each of the equations represents a function 4x=y+8.

Short Answer

Expert verified

The given relation 4x=y+8 is a function.

Step by step solution

Step 1. To find.

If the relation 4x=y+8 is a function.

Step 2. Explanation.

A relation will be a function if

Every value in its domain has a unique value in its codomain.
For every value of x, there is a unique value of y.
For every value of x, there must be only one value of y.

Step 3. Calculation.

Putting x=0, 2, 3, 4 in 4x=y+8 and writing the values in the tabular form we have,

$x$	$y = 4 x 鈥� 8$	$(x, y)$
0	$y = 4 (0) 鈥� 8 = 鈥� 8$	$(0, - 8)$
2	$y = 4 (2) 鈥� 8 = 0$	$(2, 0)$
3	$y = 4 (3) 鈥� 8 = 4$	$(3, 4)$
4	$y = 4 (4) 鈥� 8 = 8$	$(4, 8)$

Or, the relation can be represented as:

$R = {(0, 鈭� 8), (2, 0), (3, 4) 鈥� .}$

From these ordered pairs we see that, for each different value of x, there is the unique value of y. It means this ordered pair satisfies the definition of a function.

Step 4. Conclusion.

From the above relation, for each x value, there is always a y value. So, 4x=y+8 is a function.

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91影视

Determine if each of the equations represents a function 4x=y+8.

Short Answer

Step by step solution

Step 1. To find.

Step 2. Explanation.

Step 3. Calculation.

Step 4. Conclusion.

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