5 homework of Math 1001

MATH 1001: Pre-Calculus Mathematics 1

TRU Open Learning

Assignment 2: Functions and Graphs (60 marks, 7%)

Complete the following questions from the textbook. Show all your work, as full credit

will not be given for inadequately explained answers. This assignment is worth 7% of

your final grade and will be marked out of 60. For detailed instructions on how to

submit your assignments go to “How to Send Assignments for Grading” in your

Course Guide.

Section 2.1

1) Page 88, Q. 20 [3 marks]

Section 2.2

2) Sketch the graph of the equation 𝑥 = −3𝑦2 + 5 and label the 𝑥- and 𝑦-

intercepts. [3 marks]

3) Page 103, Q. 56 [3 marks]

Section 2.3

4) Page 116, Q. 8 [3 marks]

5) Find a general form of an equation of the line through the point 𝐴(3,4) that is

perpendicular to the line 5𝑥 + 4𝑦 = 20. [3 marks]

6) Page 118, Q. 64 [3 marks]

Section 2.4

7) Let 𝑓(𝑥) = 4𝑥2 − 2𝑥 + 1. If 𝑎 and ℎ are real numbers, find

a) 𝑓(𝑎) [1 mark]

b) 𝑓(𝑎 + ℎ) [2 marks]

c) 𝑓(𝑎+ℎ)−𝑓(𝑎)

ℎ , if ℎ ≠ 0. Simplify your answer. [2 marks]

8) Page 132, Q. 20 [5 marks]

9) Find the domain of 𝑓(𝑥) = √16−𝑥2

2𝑥2−4𝑥 and write it in interval notation. [4 marks]

10) Simplify the difference quotient 𝑓(𝑥+ℎ)−𝑓(𝑥)

ℎ , if ℎ ≠ 0, for 𝑓(𝑥) =

2

𝑥2+1 . [4 marks]

Section 2.5

11) Page 147, Q. 20 [3 marks]

2 Assignment 2

TRU Open Learning

12) Explain how the graph of the function 𝑦 = −3𝑓 ( 𝑥

2 − 1) + 2 compares to the

graph of 𝑦 = 𝑓(𝑥). [2 marks]

13) Sketch the graph of 𝑓(𝑥) = { −𝑥 + 3 if 𝑥 ≤ −2 𝑥2 + 3 − 2 < 𝑥 < 1 𝑥 + 2 1 ≤ 𝑥

. [4 marks]

Section 2.6

14) Page 160, Q. 20 [3 marks]

15) Find the standard equation of the parabola shown in the following figure. [2

marks]

16) Page 162, Q. 48 [3 marks]

Section 2.7

17) Page 172, Q. 10 [4 marks]

18) Page 172, Q. 24 [3 marks]

Select questions associated with the following course textbook are used with

permission from Cengage Learning:

Swokowski, E. W., & Cole, J. A. (2012). Precalculus: Functions and graphs

(12th ed.). Belmont, CA: Brooks/Cole, Cengage Learning