School

Carleton UniversityDepartment

MathematicsCourse Code

MATH 1007Professor

Kyle HarveyStudy Guide

QuizThis

**preview**shows page 1. to view the full**4 pages of the document.**Question 1: Graph the following function:

Answer:

We write out the transformation formula: , which means we should factor this to place it in the

correct form:

Here we see that:

a =-2, b=2, c=-3, d=-1

Question 2: Determine the domain & range of the following graph. Also state whether the graph represents a

function. (Assume that the each grid is 1 unit).

Question 3: Determine the domain of the following equation:

Answer:

Looking at each piece one at a time, we get:

which means we cannot divide by 0, this means .

we cannot square root a negative, this means that or

Answer:

Scanning left to right, we see that the only inputs that are

picked up are from -5 until 7. This gives us the domain:

Scanning bottom to top, we see that the only outputs

that are picked up are from -1 until 5. This gives us the

range:

This is not a function as it fails the vertical line test.

We can make our table of values and apply the transformations:

Parent function:

x y x y

-2 2 -4 -5

-1 1

-3.5 -3

0 0 -3 -1

1 1 -2.5 -3

2 2 -2 -5

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