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Warm-Up #1 1/25/2013. The following data set represents the height of a ball over a period of distance, in feet. Determine whether a linear or quadratic equation would be the best fit. Find this equation and explain why.

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warm up 1 1 25 2013
Warm-Up #1 1/25/2013

The following data set represents the height of a ball over a period of distance, in feet. Determine whether a linear or quadratic equation would be the best fit. Find this equation and explain why.

The expression 2π(rh + r2) represents the total surface area of a cylinder with height h and radius r. What is the surface area of a cylinder with height 5 centimeters and radius 2 centimeters? Leave your answer in terms of pi.

Keep all warm-ups on one piece of notebook paper If you run out of room, use another piece.

Label and date all warm-ups.

They may be taken up at any time for a quiz grade.

slide3

Domain: the set of all inputs

(x-values) in a relation.

Range: the set of all outputs

(y-values) in a relation.

how would you use your calculator to solve 5 2
How would you use your calculator to solve 52?

Input

Output

  • The number you entered is the input number (or x-value on a graph).
  • The result is the output number (or y-value on a graph).

5

x2

25

slide5

A function is a relation in which each

of its inputs (x-values) provides exactly one

output (y-value).

A relation is a set of data with no restriction on

input-to-output values.

  • Graph
  • Equation
  • Table of values
  • A set of ordered pairs
  • Mapping

There are many ways to represent relations:

These are all ways of showing a relationship between two variables.

slide6

Function

X values are always located

on the right and y values are

on the left.

They can be represented by

words, symbols or numbers.

This represents a function as every input value (x) has only been used once.

slide7

A Relation is a set of data with no restriction on

input-to-output values

(x and y values may be repeated).

This represents only a relation

because the input value or

x-value of 2 was used twice.

Therefore this relation is not a

Function.

All functions are relations but not all relations are functions!

slide8

a)

b)

slide9

20 Hours

25 Hours

30 Hours

40 Hours

$200

$425

$350

$450

slide10

Vertical Line Test: if every vertical line you can draw goes through only 1 point then the relation is a function.