Linear vs. Nonlinear Algebra 1A

Algebra 1: Linear vs. Nonlinear Functions Explained!

What is linear versus nonlinear functions? Last week, you learned about slope and y-intercept form. This week you will use what you know about slope and y-intercept form (along with other things) to determine if a function is linear or non-linear. Watch the short video in order to answer the questions below. After watching the short video above, you will sort the descriptors to the correct term (linear or non-linear). Feel free to rewatch the video above if you get stuck. Linear the rate of change is constant can be written in y=mx+b form line is straight when graphed Non-Linear the rate of change is not constant line is curved or not in a straight line when graphed is raised to an exponent x is in a square root Matching Terms and Pictures First, look at the terms on the left side. Second, look at the images on the right side. Then match each of the following images with the appropriate term by dragging and connecting the lines.Hint: if you need to go back and watch the video again, please do. Linear Graph Nonlinear Graph Linear Equation y = 3x+2 Nonlinear Equation Linear Word Problem Micheal pays $10 each month to go to the gym. He also pays an $50 once a year for his membership. Nonlinear Word Problem A scientist starts out with 2 bacteria in a petri-dish. The population doubles every hour. Linear Table Nonlinear Table Sorting Examples of Linear Sort the items into Linear and Nonlinear LINEAR y = x y = x + 0.25 A plants grows 2 inches per week A boy has $50 and spends $3 per day. f(x) = 5x +1 y = π · x NONLINEAR y = 4 xy = 5 y = √x A population doubles each decade. y = 2 ^x Is the Equation Linear or Nonlinear? (Worksheet) On the worksheet below, please fill out the text entry with either the words "linear" or "nonlinear". Make sure you spell accurately too or else you will get the answer wrong.(Hint: You will have to solve for y in some of them. If it's in the form y=mx+b, it is linear. If it's not, then it is nonlinear).For example: In number 1, you will have to solve for y. To do that, the first step is to divide each term by 5. This gives you the equation y=7 x +6 which is in y=mx+b form. linear nonlinear linear nonlinear nonlinear linear linear nonlinear Is the Equation Linear On the graphs below, please fill out the text entry with either the words "linear" or "nonlinear". Make sure you spell accurately too or else you will get the answer wrong. nonlinear linear nonlinear Complete Each Function Table This part is to review how a function table works- you will plug the input value of x into the equation above the table to find the output values f(x).If your answer is a negative number, please type in with a minus symbol in front of it (-14). -14 -13 -12 -11 -4 15 9 3 -3 -21 9 3 1 -1 -7 Linear versus Nonlinear Table Form Is the Table Linear On the worksheet below, fill out the textbox entry with either "linear" or "nonlinear". Make sure you spell accurately too, or else you will get the answer wrong.*Hint: recall that in a table you have to read the number from the top column (x) to number on the bottom column f(x). If the rate of change is constant going across the rows, then it is linear. If the rate of change is NOT constant, then it is nonlinear. linear nonlinear linear nonlinear nonlinear linear linear nonlinear After going through these practice problems, rate your confidence in your knowledge with linear and nonlinear functions on a scale of 1-4 (1=begnning, 2=developing, 3=competant, 4=mastery). 1 2 3 4 Have a WONDERFUL Spring Break! You all deserve it! See you guys in a week again! :) Optional: Type in anything you would like us to know about at this moment. It can be about anything, it does not have to be school-related. If not, please submit this worksheet. You will get a score right away and we will provide you feedback as soon as we can.