Module 1 Test Review

Module 1 Test Review

We will review topics covered on your test:
PEMDAS
Functions
Domain
Graphing
Distance
Evaluating Functions
Circles

Functions ... f(x)

Important Notes...

Even evaluating , remember to replace all variables with the value.
Remember Order of Operations PEMDAS
f(x) means find y when x is...
What makes a function a function

Draw

Is (4,2) a solution to $$2x-5y=3$$ ?

Multiple Choice

Where is the error: $$4\left[\left(12-6\right)\div2\right]^2$$

Step 1: $$\left[4+6\div2\right]^2$$

Step 2: $$\left[4+3\right]^2$$

Step 3: $$7^2$$

Step 4: $$49$$

• Step 1

• Step 2

• Step 3

• Step 4

Multiple Choice

Which of the following is not a function.

• A

• B

• C

• D

Dropdown

Is this a function? ​

Select answer

​

Math Response

Given $$f\left(x\right)=-4x^2-3$$ , find f(-3)

Type answer here

Correct Answer: -39

Deg^°

Rad

Math Response

Given $$f\left(x\right)=x^2-x$$ , find f(a+2)

Type answer here

Correct Answer: a^2+3a+2

Deg^°

Rad

Math Response

What is the value of f(0)?

Type answer here

Correct Answer: 4

Deg^°

Rad

Math Response

What is f(2)?

Type answer here

Correct Answer: 8

Deg^°

Rad

Math Response

Evaluate f(5)

Type answer here

Correct Answer: 16

Deg^°

Rad

When you have a variable in the denominator, set denominator not equal to 0

Fractions

Even Roots

Domain Rules

Draw

Find the domain of $$f\left(x\right)=\left|x\right|$$

Draw

Find the domain of $$f\left(x\right)=\sqrt[]{x+7}$$

Draw

Find the domain of $$\sqrt[3]{x-1}$$

Draw

Find the domain of $$f\left(x\right)=x-\frac{3}{3x-1}$$

Draw

Find the domain of $$f\left(x\right)=\frac{1}{9}x-9$$

Draw

Find the domain of $$f\left(x\right)=\frac{x^2+x+2}{2x}$$

Random Items

You WILL need to know the midpoint, distance and equation of circle formulas.
Always make sure to show your work.

Graphing

Graph the following: $$2x+4y=8$$

Multiple Choice

What is the center of the circle: $$f\left(x\right)=\left(x-4\right)^2+\left(y+5\right)^2=16$$

• (4,-5)

• (-4,-5)

• (4,5)

• (-4,5)

Multiple Choice

What is the radius of the circle: $$f\left(x\right)=\left(x-2\right)^2+\left(y-4\right)^2=36$$

• 2

• 4

• 6

• 36

Math Response

Find the exact distance of

(1,2) and (4,-1).

Type answer here

Correct Answer: 3\sqrt{2}

Deg^°

Rad