Linear vs. Nonlinear Functions - Definition & Examples
Read this topicExplanations 3
- Linear vs. Nonlinear: Visual examples Here is an example of a linear function. This function can be described as "linear" because its graph is a straight line. Notice that you d…
By Danny Kotcher, Haoran Guo, Zora Gilbert, Alex Federspiel, Victor Wang
- Linear and Non-Linear Functions Before we talk about linear vs. nonlinear functions, let's quickly review just what a function is. In math, think of a function like a little mac…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Victor Wang, Sarah Walker, Anusha Rahman
- (Video) How to Distinguish Between Linear & Nonlinear : Math Teacher Tips by eHowEducation This video explains the difference between linear and non-linear functions. Summary\la…
By Amy Feraco, Alex Federspiel, Victor Wang, Sarah Walker, Anusha Rahman
Problems 34
- Is this a non-linear function of ppp? Q(p)=4×(2p)2Q(p) = 4\times (2p)^2Q(p)=4×(2p)2
- Is the function y=3(x+23)y=3(x+23)y=3(x+23) linear or nonlinear?
- Is the function y=9xy=\sqrt{9x}y=9x linear or nonlinear?
- Is the function y=(x−4)2y=(x-4)^2y=(x−4)2 linear or nonlinear?
- Is the function y=−7x+6x+5y=-7x+6x+5y=−7x+6x+5 linear or nonlinear?
- Is the function y=∣x−6∣y=|x-6|y=∣x−6∣ linear or nonlinear?
- Is the function y=2xy=2^xy=2x linear or nonlinear?
- Is the function f(x)=7x3f(x)=7x^3f(x)=7x3 linear or nonlinear?
- Match the function name with its graph equation y=f(x)y = f(x)y=f(x). Linear.
- Slope-intercept form provides a way to express linear functions. Which of these is in slope-intercept form?
- In which equation is yyy a nonlinear function of xxx? (Hint: First solve for yyy as a function of xxx.)
- Dr. Smith is graphing the growth of a new, small frog population over time. Since the frogs are just colonizing the area, the size of the population grows exponentially in the b…
- Identify the equation below that defines yyy as a nonlinear function of xxx. (Hint: First solve for yyy as a function of xxx.)
- Given the table above, identify the function in terms of xxx and yyy and determine whether the function is linear or nonlinear.
- Brenda has been working at the same company for 151515 years and decides to track her income received over that period of time. She finds that every three years, her pay is rais…
- In which of the following equations is yyy a linear function of xxx?
- Given three function tables, identify the one that represents a linear function.
- Is the function y=aln(x)+by = a\ln(x)+by=aln(x)+b (where aaa and bbb are constants) linear or nonlinear?
- If possible, write yyy as a function of xxx.
- Theoretically, roughly how much time does she need to complete the 555 pages?
- Lillie works at the local ice-cream shop. She makes 888 dollars every hour she works. What is the relationship between the hours she worked and how much money she made?
- True or False\text{True or False}True or False === If a graph is made up of different linear functions, then it, as a whole, is linear.
- True or False\text{True or False}True or False === If a function is not linear then it cannot be continuous.
- Bobby counts the amount of a specific plant in his garden every 3 months. The following numbers represent the amount of this plant the first few times he counted: 2,5,12,28,602,…
- Select the non-linear equations.
- Select the linear equations.
- Assuming the function follows the pattern shown above, is the function linear?
- Is the function y−3=∣x∣y - 3 = |x|y−3=∣x∣ a non-linear function?
- Simplify the following equations. Which one expresses yyy as a linear function of xxx?
- So is a vertical line a linear function?
- What can conclude about the above two scenarios?
- Select the linear functions.
- A function is denoted by f(x)=xnf(x)=x^nf(x)=xn. What values of nnn make the function nonlinear?
- A function is denoted by f(x)=nxf(x)=n^xf(x)=nx. What values of nnn make the function linear?