Unit 4: Domain and Range, Absolute Value, Functions Flashcards
What is domain?
Every available input (or x) values.
Ex. All whole numbers from 1-9
What is range?
Every available output (or y) values.
Ex. Even numbers from -2 to 10.
How do you find the domain on a graph?
See what numbers the line on the graph ranges from on the horizontal segment on the graph, or x-axis.
How do you find the range on a graph?
See what numbers the line on the graph ranges from on the vertical line segment on the graph, or y-axis.
What is a maximum?
A maximum is the coordinate and/or a number of the TALLEST point on a line.
What is a minimum?
A minimum is the coordinate and/or the number for the LOWEST point on a line.
What is a piecewise function.
A piecewise function is basically one of those functions that looks like a greater than or less than function. An example of one of these is this:
f(x) { 12, 9
f(x) { 12, 9
The y values are the number on the left and the x values are the ones on the right.
How do you write a piecewise function on a graph?
using example f(x) { 12, 9
What you have to do is take the number that is on the left side/range side/y-value side and that is where your life for the piecewise function is going to be on. Then have it go from the numbers on the right side/domain side/etc. For using the example, you would write your line on the 12 part on the vertical line and have it go from the 9 to the 13.
When do you use an open dot or a closed dot to graph a piecewise function?
Open dot is for when the number you are graphing is greater than or less than.
Closed dot is for when it is greater than OR equal to or less than OR equal too.
How do you write a regular piecewise function?
Simply write this but insert letters and numbers:
function name (variable) { y-value, first possible x value, x, second possible x value.
In place of the commas, put your greater than, less than, or equal to symbols.
How do you write a function?
name(variable)=steps to get the right answer
ex. f(x)=3x+1
How do you interpret a function?
What you have to do is change the function or graph into information that fits whatever the question is asking you,
What is absolute value?
Absolute value is the distance a number is away from -. The absolute value answer will always be positive but the original number may not.
Ex.
if the number is -9 the absolute value is 9
If the number is 12 the absolute value is 12.
How do you find absolute guessing errors or an absolute value function?
What you have to do is find how many away the guess was from the correct answer.
