A curve is made up of the following two pieces: 1

MATHEMATICS · Multi-part · GCSE · Mathematics · Algebra · Algebra

Problem

A curve

C

is made up of the following two pieces: 1. The upper half of the circle

(x-3)^{2}+y^{2}=16

. 2. The vertical line segment

x=4

with

-2\le y\le 2

. Use this information to answer the questions below. (i) Draw a neat, labelled sketch of the complete curve

C

. (ii) Determine the domain of the relation represented by

C

. (iii) Determine the range of the relation represented by

C

. (iv) Write the domain and range obtained in (ii) and (iii) in interval notation.