May
8

# Week 11–Math 10

This week we learnt the chapter 7 — Relations and Functions. From this week’s classes, I got some hints.

- The variable has coefficient is the
**independent**variable, so another variable is the**dependent**variable. - Independent variable, input, and domain these words are the same meaning; Dependent, output, and range mean the same.
- The different ways a relation may be represented are: equation, the graph, the words, table of values, set of ordered pairs, mapping, function notation.
- Every time you need at least three points to graph.
**The discrete variables**— data that is counted–**there are only some points on the graph**–can not interpolate as points in between–**no meaning****The continuous variable**— data that is measured–there is a line on the graph,**the points are connected**—**meaning**- The equation has
**degree one**—**linear**; The equation has**more that two degrees or equal two**—**no linear** - X-intercept => y=0, (x,0)
- Y-intercept=>x=0, (0, y)
- Every time you do the question like this
*“Determine the x- and y- intercepts of each equation.”*at the end, you need answer as ordered pairs. If you meet a situation like this*“-y^2=81”*you can not figure it, you just write down**no y-intercept.** - When you do the question like “
*State the domain and range for each relation.”*if you see there is only dots on the graph, you just list their domains, remember**“no repeat”;**If the line is continuous, no end, you just write down — D={x*E*R} or R={y*E*R}; Every time the line is continuous, you need have this at the end,*{xER}{yER}.* **Functions — input only has one output.**But output can have two inputs.