Question

Which graph represents a function?

Answer 1

Answer: top right

Explanation:

if you do the vertical line test you can see that it’s the only graph where each x value has one y value, indicating that it’s a function

Answer 2

The second graph

Explanation:

The general function is f(x) = mx + c

• m is slope
• c is y-intercept

`{ \tt{m = (8 - 4)/(4 - 2) = (4)/(2) }} \\ \\ { \underline{ \tt{ \: m = 2 \: }}}`

For y-intercept:

`{ \tt{f(x) = mx + c}}`

consider point (2, 4)

`{ \tt{4 = (2 * 2) + c }} \\ { \tt{c = 0}}`

Function:

`{ \boxed{ \tt{f(x) = 2x}}}`