Match the following terms! look at photo

Step-by-step explanation:

1. f(x) < 0

Interval of the domain where the graph is below the x-axis

because the negative regions of a function compromises those intervals where the function lies below the x-axis

2. x-intercept

Location on graph where output is zero

because when we find x-intercept we put y=0

3. y-intercept

Location on graph where input is zero

because when we find y-intercept we put x=0

4. f(x) > 0

Interval of the domain where the graph is above the x-axis

because the positive regions of a function compromises those intervals where the function lies above the x-axis

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: