MAT 116 Algebera 1A

What similarities and differences do you see between functions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.
•Find examples that support or refute your classmates’ answers to the discussion question.
Provide additional similarities and differences between functions and linear equations. Challenge
your classmates by providing more intricate examples of nonlinear functions for them to solve.

  1. 👍 0
  2. 👎 0
  3. 👁 418
  1. I have no classmates and I didn't read your chapter 3.

    All linear equations are functions. Good luck with the rest of your assignment. If you have more specific questions, please try again.

    1. 👍 0
    2. 👎 0
  2. First, what is a function? In Cartesian mathematics, a function is an expression which, for any value of x, there exists one and only one value of y. A function can be either a straight line (linear) or a curvy line (non-linear).

    If you look at a linear equation graphically, you will see a straight line, so all linear equations are functions.

    A non-linear equation, such as y = x², is a function, though not a straight line, because for any value of x there exists one and only one value of y.

    An example of a non-function would be y = ± x. In this case, for any value of y, there exists two values of x. Therefore, it is not a function.

    ...
    Hot water is heavier by volume than cold water.
    ...

    1. 👍 0
    2. 👎 0
  3. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

    1. 👍 0
    2. 👎 0
  4. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    what are the similarities and differences between an arithmetic sequence and a linear equation? ok i know that arithmetic sequence is a sequence of real numbers for which each term is the previous term plus a constant (called the

  2. chem

    What are the similarities and differences between the hydrogen atom 2s and 3s orbitals? a) What are the similarities and differences between the hydrogen atom 2s and 3s orbitals? b) What are the similarities and differences

  3. Math

    Lesson 8: Systems of Linear and Quadratic Equations Check my work 1. Solve the system of equations. y = 2x^2 - 3 y = 3x - 1 a. no solution b. (-1/2, 5), (2, -5/2) c. (-1/2, -5/2), (2,5)*** d. (1/2, 5/2), (2, 5) 2.how many real

  4. MATH

    Let f(x) = m1x + b1 and g(x) = m2x + b2 be two linear functions. Answer the following, noting that answers may depend on the the ms and bs. a. Is f (x) + g(x) a linear function of x? b. Is f (x) − g(x) a linear function of x? c.

  1. Math

    What are the similarities and differences between functions and linear equations? How do you graph functions on a coordinate plane? Is there an instance when a linear equation is not a function? Provide an example. Write a

  2. World History

    Analyze the Declaration of the Rights of Man and of the Citizen and compare it to the Declaration of Independence. What are the similarities and differences? Provide a list of four bullet points (two similarities and two

  3. algebra

    What are the similarities and differences between functions and linear equations? Are all linear equations functions? Is their a time when a linear equation is not a function? and why.

  4. Math

    What are the differences between linear and quadratic equations? How are these differences displayed in a graph? Write a brief scenario that can be modeled with a linear equation. Summarize a situation modeled by a quadratic

  1. math

    Compare the function y = tanx and its reciprocal. Identify two similarities and two differences between the functions

  2. college math 116

    Functions are a lot like equations. In a function we look at the relationship of the variables. Does one variable depend on the other. In a function when you see f(x) it just means "y." So we have an equation y = 2x + 3 and a

  3. Algebra II

    Part 1: Using complete sentences, compare the key features and graphs of sine and cosine. What are their similarities and differences? Answer: The sine graph will always pass through (0, 0), While the cosine graph wouldn't. If the

  4. Algebra

    What similarities and differences do you see between functions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create

You can view more similar questions or ask a new question.