Function State Test Prep

RepresentingRelations

100

A relation is shown as: (1,2), (2,4), (3,6). 

What are the Domain and Range?

Domain: 1,2,3

Range: 2, 4,6

200

A relation is given by the rule: “Multiply input by 3, then subtract 2.”
Create a table to show when x = −1, 0, 2.

👉 Answer: (−1, −5), (0, −2), (2, 4)

300

Name three different ways to represent a relation.

Mapping, Table, Equation

400

What is the Number one Rule to a Functions

There is Only one Y for every X

500

What is are the key differnce(s) betweeen a Mapping and a Table

- No Repeating Numbers 

- Arrows

Function or Nah?Linear or Nah?

100

A table shows:
x: 1,2,3,4
y: 3,6,9,12
Determine if linear and justify.

linear 

200

Create an equation that would FAIL the vertical line test and explain why.

x= 3 or one with exponent other 1 

300

Explain the Vertical Line Test in words

A vertical line should not cross the graph more than once or it is not a function

400

Explain How you know something is a function from an Equation

- Slope- Intercept Form 

- No exponents other One

500

A table shows no repeated x-values but has repeated y-values. Is it a function?

👉 Answer: Yes

Discrete, Continous, Neither

100

Scenario: The distance a car travels over time, assuming it moves smoothly without stopping.

Continous

200

Scenario: The number of siblings each student in a class has.

Discrete

300

Scenario: Number of Students in Class

Discrete

400

A graph shows the cost of parking where you pay $5 for the first hour, $10 for up to 2 hours, $15 for up to 3 hours, etc.

Neither

500

Besides saying there are dots vs a line explain the difference between a Discrete and Continuous Function in a real world Context?

Contains - time lilttle intervals 

Discrete-Books, there is no small fractions/ decimals

Evaluating Functions

100

F(x)= 3x − 2, find x if f(x) = 10

x=4

200

g(x) = x² − 5, find g(3)

Answer: 4

300

f(x) = 2x² − 3x, find f(−2)

👉 Answer: 2(4) + 6 = 14

400

2x + 5, find h(2x − 1)

2(2x−1)+5 = 4x + 3

500

2x² − 3x + 1, find f(x + 2)

f(x + 2) = 2(x + 2)² − 3(x + 2) + 1
= 2(x² + 4x + 4) − 3x − 6 + 1
= 2x² + 8x + 8 − 3x − 6 + 1
= 2x² + 5x + 3

Intercepts, Lines of Symmetry, End beahvior

100

What is the y-intercept of the graph of y = 3x + 2?

👉 Answer: (0, 2)

200

Find the x-intercept of y = x − 5.

👉 Answer: (5, 0)

300

What is end behavior?

What happens to a function as X goes positive and negative

400

Describe the end behavior of y = 3x + 1.

👉 Answer: 

As x → ∞, y → ∞; 

as x → −∞, y → −∞

500

How many lines of symmetry does a parabola usually have?

👉 Answer: 1