Determine which relation is a function. a. option c: coordinate grid with graph of a circle centered at point (zero, zero) b. option d: coordinate grid with graph of a curve that passes through point (zero, zero) and is in the first and fourth quadrants c. option a: coordinate grid with graph of vertical line at x equals three d. option b: coordinate grid with graph of a curve that passes through point (zero, zero) and is in the first and third quadrants

D. Option B: Coordinate grid with graph of a curve that passes through point (zero, zero) and is in the first and third quadrants

Step-by-step explanation:

The vertical line test says if a line going straight up and down passes through more than one point of a relation, than the graph is not  a function.

A. Option C: Coordinate grid with graph of a circle centered at point (zero, zero)

A circle fails the vertical line test so it cannot be a function

B. Option D: Coordinate grid with graph of a curve that passes through point (zero, zero) and is in the first and fourth quadrants

This will fail the vertical line test.  The first and fourth quadrants are above each other.

C. Option A: Coordinate grid with graph of vertical line at x equals three

A vertical line will fail the vertical line test

D. Option B: Coordinate grid with graph of a curve that passes through point (zero, zero) and is in the first and third quadrants

This will pass the vertical line test.  The first and third quadrants are diagonal from each other.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0