Question

Identify which of the following equations represent functions. Select all that apply.

1. y = 4x + 13
2. x = 5
3. x2 + y2 = 16
4. y2 = mr001-1.jpgx - 6
5. y = 3x2 - x - 1

need correct answer asap

Answer 1

Answer: Y=4x+13

               Y=3x2-x-1

Answer 2

The following equations represent functions:

y = 4x + 13 (Option 1)

y = 3x² - x -1 (Option 5)

Solution,

• An equation is said to be a function if for each possible input value there exists only one output value.

• The equation y = 4x + 13 is function because for every possible value of x their is only one output of y. For example if x = 1 then y = 4(1) + 13 = 17.
• Option 3 and 4 are not function because they would give two values of y as the solution. For example in equation y² = 16 - x², if x = 2 then y would be y²=16-(2)² i.e. y = 2√3 and y = -2√3.
• Option 5 is also a function because for every value of x there would be only one value of y.

Hence Option 1 and Option 5 are correct.