Lesson 4

figure out the function

100

Is this a function? 

y2=x

No: 

If x=4, y could be 2 or -2. A single input produces two outputs, violating the definition. 

200

f(x)=x³

Cubic Function

300

-5  10

-1.5  3

0    0

2.5  -5

Geometric Sequence

400

f(x)=ax³ +bx²

Cubic Function

500

f(x)=_\/ x

Square root function

function forms

100

What type of function is this

f(x)=3x+7

Linear Function (where 3 is the slope, 7 is the intercept 

200

What kind of function is this 

f(x) =x² - 4

Quadratic Function

300

What kind of function is this 

f(x)=5

Constant Function  (output is always 5 regardless of input). 

400

f(x) = x

Absolute Value

500

What kind of function is this

f(x) =2^x

Exponential Function  (Represents rapid growth or decay). 

y=mx+b

100

Find the slope 

y=-3x+4

-3

200

Solve for X

y=5x+12 

-2.4

300

Sarah owns a shipping company. She charges a flat fee of $20 plus $5 per kilometer for deliveries. If she wants to make at least $150 on a delivery, how far must the delivery be?

26 kilometers.

400

Maria invests $5000 in a savings account that earns 3% annual interest. She also deposits $100 each month. How many years will it take for her total savings to reach $10,000? 

4.5 years

500

A family installs a new showerhead that reduces water flow from 2.5 gallons per minute to 1.5 gallons per minute. If they typically shower for 15 minutes each, how much water do they save in a week?

210 gallons of water in a week.

general question

100

what is all of our last names 

Dodd, Janson, Ceesay, Garcia Cruz

200

Which ocean is the largest on Earth?

PACIFIC OCEAN

300

name 13 digits of pi 

3.141592653589

400

what is shipleys favorite color

blue 

500

name 5 trade routes 

Silk Road, indian ocean, trans-Saharan, Columbian Exchange, incan roads.