Relations and Functions Study Guide review game

Functions and Relations

100

How do we know a relation is a function?

we know a relation is a function if every input (x) has exactly one output (y)

200

(-8 ,5) , (-5 , 8 ) , (8 , -5 ), (5 , -8)

Is this set of ordered pairs a function and why?

Yes, this is a function because every input has one output

300

What are some different ways that we can represent functions?

1. From a graph

2. From an X and Y table

3. Arrow chart

400

What are the two different types of functions when looking at a graph?

1. Linear 

2. non- linear 

500

if given the following function notation 

f(x) = 4x -1 

What would be the outputs for these inputs given?

1. x = 3

2. x = -5

1. The output would be 11

2. The output would be -21

Multi-Step Equations

100

What is the value of x in the following equation?

1. 3x + 4 = 5x + 2

1. X = 1

200

What is the value of x in the following equation?

1. 5x − 2+ x=9 +3x + 10 

x = 7

300

What is the value of x in the following equation?

1)  37 = −3 + 5(x + 6)

x = 2

400

What is the value of x in the equation below?

1) 8 = 8v − 4(v + 8)

v = 10

500

What is the value of x in the following equation?

1) −5n − 8(1 + 7n) = −8

n = 0

Exponent Rules

100

simplify the problem

1.  (w²)⁸

2. (a⁴)⁴

1. w¹⁶

2. a¹⁶

200

Simplify the following problems

1. 3² x 3^-5 =

2. 4² x 4^-4 =

1. 3^-3

2. 4^-2

300

Simplify the following problems

1.  4³ / 4²

2. x⁸ / x⁴

1. 4¹ or 4

2. x⁴

400

Simplify the following exponents

1) 4^-3

2) 1 / 4^-3

1) 1 / 4³

2. 4³

500

simplify the  following exponents 

1) 15⁰

2) 2500154⁰

1) 1 

2) 1

Slope

100

1) How do you find slope from a graph. 

2) How do you find slope when given two points. 

(Remember that these are formulas that we have learned.)

1. Rise/ Run

2. y² - y¹ / x² - x¹

200

Find the slope when given the two points below.

1) (-5 , 2) and (-8, 2)

1) Slope = 0

300

Find the slope of the line through each pair of points.

1) (19, −16) and (−7, −15)

1)   -1/26

400

Find the slope of the line through each pair of points.

1) (−4, 7) and (−6, −4)

1) 11 / 2

500

1) (17, −13) and (17, 8)

1) Undefined 

SN

100

What is this number written in standard form

1) 6.8 x 10^-4 

1) 0.00068

200

Write this number in Scientific Notation

1) 4850000

4.85 x 10⁶

300

Write this number in standard form 

1) 4.85 x 10⁵

1) 485000

400

write the number in scientific Notation.

1) 0.0000068

1) 6.8 x 10^-6

500

write the number in standard form

1) 4.8 x 10⁵

1) 480000