Question

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

Answer 1

Answer:

$y = x - 5$ and $y = \½x$

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 $y \ne 5$

$b.\ y = x^2$

Substitute 10 for x

$y = 10^2$

$y = 100$

This function does not apply because $y \ne 5$

$c.\ y = x + 5$

Substitute 10 for x

$y = 10+5$

$y = 15$

This function does not apply because $y \ne 5$

$d.\ y = x - 5$

Substitute 10 for x

$y = 10 - 5$

$y = 5$

This function includes the given points

$e.\ y = \frac{1}{2}x$

Substitute 10 for x

$y = \frac{1}{2} * 10$

$y = 5$

This function includes the given points