Quiz 1 Real Numbers Functions, and Graphs

What are the coordinates of the point lying at the intersection of the lines x = 9 and y = −4?

• (9, −4)

• (-9, −4)

• (+9, +4)

• (-9, +4)

In which quadrant do the following points lie? and Why?

(a) (1, 4)

(b) (−3, 2)

(c) (4, −3)

(d) (−4, −1)

• A) I,

  B) II,

  C) IV, D) III.

• A) I,

  B) III,

  C) II, C) IV.

• A) IV,

  B) III,

  C) II, C) I.

• A) I,

  B) II,

  C) III, C) IV.

What is the radius of the circle with equation (x − 9)2 + (y − 9)2 = 9?

• 3

• 4

• 5

• 6

The equation f (x) = 5 has a solution if (choose one):

• (a) 5 belongs to the domain of f .

• (b) 5 belongs to the range of f .

• (b) -5 belongs to the domain of f .

• (b) -5 belongs to the range of f .

Express the interval in terms of an inequality involving absolute value

[−2, 2]

Write the inequality in the form a<x<b.

|x| < 8

Express the set of numbers x satisfying the given condition as an interval.

|x| < 4

Express the set of numbers x satisfying the given condition as an interval.

|x| ≤ 9

Plot each pair of points and compute the distance between

(1, 4) and (3, 2)

• 1√2.

• 1√3.

• 1√4.

• 2√2.

Plot each pair of points and compute the distance between

(2, 1) and (2, 4)

• 2

• 3

• 4

• 5