CH. 1 NOTESNC Math 3

ROAD TRIP! Ms. Adams is traveling to California to see

her sisters.

She drives at a constant pace:100 miles the first two hours210 miles the next three hours240 miles the next four hours

Create a graph showing her rate for each hour.

STEP FUNCTIONS The post office offers flat-rate mailing of

packages: $1.50 for a package weighing less than 4 oz, $2.50 for a package weighing 4 oz to less than 8 oz, and $3.50 for a package weighing 8 oz to 12 oz.

Graph this function.

Image source labeled for reuse with modification: https://upload.wikimedia.org/wikipedia/commons/3/37/Small_USPS_Truck.jpg

GREATEST INTEGER FUNCTION The greatest integer function returns

the greatest integer LESS THAN OR EQUAL TO the input value.

Greatest integer notation: f(x) = or (or occasionally f(x) = [x]). Sometimes called “floor function” How can it be graphed on a calculator? Is this function continuous?

GREATEST INTEGER FUNCTION

ROUNDING FUNCTION The rounding function returns the

integer based on the decimal values of the input.

Any decimal value < .5 returns the whole number part of the input.

Any decimal value .5 rounds up to the next integer.

DISCRETE VS CONTINUOUS

A t-shirt company sells t-shirts for $8 apiece if five or fewer are sold, $6 apiece if 5-10 are purchased, or $5 apiece if more than 10 are purchased.

Why is this considered to be a DISCRETE function?

Sketch a graph.

GRAPHING A STEP FUNCTION Graph piecewise function f shown below:

WRITING PIECEWISE FUNCTIONS

WRITE THE EQUATION OF THE PIECEWISE FUNCTION:

WRITE THE EQUATION OF THE PIECEWISE FUNCTION: