1) a) b) c) Given the function: f(x) = {x²x+ +1-x/ (x2 5x − 2 i. ii. ii. } i. Determine which of the following: Linear, Quadratic, Constant, Rational, Absolute Value and Polynomial best describes each function below. ii. -4 < x≤-1 -1

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1) a)
b)
c)
Given the function:
f(x) =
(x2 + 5x − 2
(7x +1-x1
i.
List ALL the elements of the domain.
[3 marks]
ii. Hence or otherwise, state the corresponding values of the range. [5 marks]
i. Determine which of the following: Linear, Quadratic, Constant, Rational,
Absolute Value and Polynomial best describes each function below.
ii.
-4 < x≤-1
-1<x<3
ii.
1. f(t) = 25-p
2. q(p) = 7p²-4|5p 4|
3r2
3. h(r)=
- t4
4
12s5 - 5s
4. r(s)
6s7 + m
Hence or otherwise, state the dependent and independent variables
respectively for each of the functions in 2a. above.
i. Given that g (p) = -p³ and h(w):
for h(g(p)).
Given that f(t) =
-2t² +7
5-t2
[4 marks]
Find f-¹(0).
[4 marks]
= 7-3w+2w2. Find an expression
[3 marks]
[6 marks]
Transcribed Image Text:1) a) b) c) Given the function: f(x) = (x2 + 5x − 2 (7x +1-x1 i. List ALL the elements of the domain. [3 marks] ii. Hence or otherwise, state the corresponding values of the range. [5 marks] i. Determine which of the following: Linear, Quadratic, Constant, Rational, Absolute Value and Polynomial best describes each function below. ii. -4 < x≤-1 -1<x<3 ii. 1. f(t) = 25-p 2. q(p) = 7p²-4|5p 4| 3r2 3. h(r)= - t4 4 12s5 - 5s 4. r(s) 6s7 + m Hence or otherwise, state the dependent and independent variables respectively for each of the functions in 2a. above. i. Given that g (p) = -p³ and h(w): for h(g(p)). Given that f(t) = -2t² +7 5-t2 [4 marks] Find f-¹(0). [4 marks] = 7-3w+2w2. Find an expression [3 marks] [6 marks]
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