Functions
A function is an equation that relates an input to an output.
X values are the input, or the domain.
Y values are the output, or the range.
Something very important to remember is that no x values can be repeated in the domain!
X values are the input, or the domain.
Y values are the output, or the range.
Something very important to remember is that no x values can be repeated in the domain!
Figure out if these two examples are functions!
1) (2,1), (3, -2), (3,1), (2,-2)
2) (0,1), (2,-1), (3,2), (4,2), (5,3), (5,-1)
Answers:
1) No, because 2 and 3 are repeated in the domain.
2) Yes, because no values are repeated in the domain.
1) (2,1), (3, -2), (3,1), (2,-2)
2) (0,1), (2,-1), (3,2), (4,2), (5,3), (5,-1)
Answers:
1) No, because 2 and 3 are repeated in the domain.
2) Yes, because no values are repeated in the domain.
discrete and continuous
A function that can only have integer inputs, or x values is discrete.
A function that can have any rational inputs is continuous.
A function that can have any rational inputs is continuous.
Graphing Functions
To graph a function, you need to plot the points of x and y.
Then if the function is continuous, you connect the dots into an arrow.
If the function is discrete, you do not connect the lines.
You also have to tell if the function is linear or non linear.
Then if the function is continuous, you connect the dots into an arrow.
If the function is discrete, you do not connect the lines.
You also have to tell if the function is linear or non linear.