Determine if the relation defines y as a function of x.

Explanation:

This graph passes the vertical line test, so that's why we have a function.

It is impossible to draw a single vertical line to have it pass through more than one point on the blue curve. Keep in mind that open holes are not part of the graph. So a vertical line at say x = -2 only passes through (-2,0) and not (-2,-2).

In other words, the input x = -2 leads to the output y = 0 (and not y = -2).

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!