Question

Select all the functions whose graph includes the point (10, 5)

a. y = 3x
b. y = x2
c. y = x + 5
d. y = x – 5
e. y = ½ x

Answer 1

`y = x - 5` and
`y = \½x`

Step-by-step explanation:

Given

`(x,y) =(10,5)`

Required.

Select all functions that apply to this coordinate

To do this, we substitute 10 for x in each of the given functions. If y = 5, then the function includes the point

`a.\ y = 3x`

Substitute 10 for x

`y = 3 * 10`

`y = 30`

This function does not apply because
`y \\e 5`

`b.\ y = x^2`

Substitute 10 for x

`y = 10^2`

`y = 100`

This function does not apply because
`y \\e 5`

`c.\ y = x + 5`

Substitute 10 for x

`y = 10+5`

`y = 15`

This function does not apply because
`y \\e 5`

`d.\ y = x - 5`

Substitute 10 for x

`y = 10 - 5`

`y = 5`

This function includes the given points

`e.\ y = (1)/(2)x`

Substitute 10 for x

`y = (1)/(2) * 10`

`y = 5`

This function includes the given points