Purchase Solution

linear or a non-linear function

Not what you're looking for?

Ask Custom Question

Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.

a. f(x) = x + 3

b. f(x) = 73 if x>2 otherwise f(x) = -1

c. f(x) = 79if x>0 or f(x) = -9 if x<0 or f(x) = 9 or -9 if x = 0

Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 48 cups. But when you raise your price to $2 you only sell 27 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear. Show your work.

Take a look at the table below and write out an equation for f(x). Show your work.

x -3 -2 1 3 4
f(x) 0 3 12 18 21

For each of the relationships below, explain whether you think it is best described by a linear function or a non-linear function. Explain your reasoning thoroughly

a. A person's height as a function of the person's age (from age 0 to 100)

b. The probability of getting into a car accident as a function of the speed at which you drive

c. The time it takes you to get to work as a function the speed at which you drive

Purchase this Solution
Solution Summary

This solution identifies as linear or a non-linear functions. It also explains your reasoning thoroughly.

Solution Preview

1. Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.

a. f(x) = x + 3

This is a function because for each value of x there exists only one f(x).

b. f(x) = 73 if x>2 otherwise f(x) = -1

It is also a function because for each value of x there exists only one f(x).

c. f(x) = 79 if x>0 or f(x) = -9 if x<0 or f(x) = ...

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

View More Free Quizzes
Related BrainMass Solutions

  • linear function or a non-linear function

    This graph is not a straight line, so the function is not linear. Although, it's a function. Label as a linear function or a non-linear function and justify.

  • Linear/non-linear differential equation

    It is a Linear DE since only linear terms are involved. This shows how to determine in an equation is (a) linear or non-linear (b) ordinary or partial:

  • Functions and Linear Equations

    This solution explains the difference between functions and linear equations and between a domain and range. It also includes example of non linear function with two inputs and a real life situation could be modeled by a function.

  • Linear PDE, Order, Homogeneous, Non-homogeneous : Boundary Value Problems

    40417 Linear PDE, Order, Homogeneous, Non-Homogeneous : Boundary Value Problems A linear PDE can be written in differential operator notation L(u) = f. where L is the linear differential operator, u is the unknown function, and f is the right-hand side

  • Partial Differential Equations : Linear and Non-Linear, Order and Dependent and Independent Variables

    75847 Partial Differential Equations : Linear and Non-Linear A) Solve the equation uxy = x^2 y and its particular solution fur which u(1,y)= cos(y).

  • linear function or a non-linear function

    The time it takes you to get to work as a function the speed at which you drive Dear student, Solution is attached. Thanks Assess as linear functions or a non-linear functions.

  • Quantitative Methods: INTEGER PROGRAMMING

    If a maximization linear programming problem consist of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming

  • Linear programming models

    71524 Formulating linear programming models TRUE/FALSE When formulating a linear programming problem constraint, strict inequality signs (i.e., less than < or, greater than >) are not allowed.

  • Linear programming

    The mathematical technique of linear programming is instrumental in solving a wide range of operations management problems. Linear Program Structure Linear programming models consist of an objective function and the constraints on that function.

View More Related Solutions