Question

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

Answer 1

Option D

Explanation:

Its is the last option because all the others fail the vertical line test. The vertical line test says that if you can draw a vertical line through the graph which intersects it at more than 1 point then its NOT a function. For example Option A, a circle, the vertical axis passes through the graph at 2 points.

Answer 2

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

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.