Question

sec 3.1 basics of functions: problem 4 (1 point) select the quadrant or axis in which each point lies: a = ? b = ? c = ? d = ? e = ? f = ? g = ?

Explanation:

Step1: Recall quadrant rules

In a Cartesian - coordinate system, the upper - right quadrant is Quadrant I (x>0, y>0), upper - left is Quadrant II (x < 0, y>0), lower - left is Quadrant III (x < 0, y < 0), and lower - right is Quadrant IV (x>0, y < 0). Points on the x - axis have y = 0 and points on the y - axis have x = 0.

Step2: Analyze point A

Point A is in the lower - left quadrant. So A is in Quadrant III.

Step3: Analyze point B

Point B is in the upper - left quadrant. So B is in Quadrant II.

Step4: Analyze point C

Point C is in the upper - right quadrant. So C is in Quadrant I.

Step5: Analyze point D

Point D lies on the y - axis. So D is on the y - axis.

Step6: Analyze point E

Point E is in the lower - left quadrant. So E is in Quadrant III.

Step7: Analyze point F

Point F lies on the x - axis. So F is on the x - axis.

Step8: Analyze point G

Point G is in the lower - right quadrant. So G is in Quadrant IV.

Answer:

A = Quadrant III
B = Quadrant II
C = Quadrant I
D = y - axis
E = Quadrant III
F = x - axis
G = Quadrant IV