Define the term linear functions?

Q: Explain The Chain Rule with Powers of a Function?

A: Chain rule with exponents

Q: Use a linear function to approximate the value of the ∛400 with work.

A: The formula of linear approximation is f(a)+f'(a)(x-a)

Q: Discuss the Functions of more than two Variables?

A: Functions of Two Variables The definition of a function of two variables is very similar to the…

Q: Sketch linear function f(x)=-3/4x-6

A: Given: sketch the linear function

Q: How to form a piecewise function by using linear function?

A: The piecewise function can be formed using linear functions as shown below.

Q: Explain why every nonconstant linear function has an inverse.

A: Given: A linear function has an inverse.

Q: Is the type of function a constant function, identity function, reciprocal function, or a linear…

A: Solve the following

Q: Differentiate between Increasing and Decreasing Functions?

A: If the value of the function, f(x) increases as the value of the x increases on an interval, then…

Q: Find the composition of functions

A: Explanation: We need to explain the process of how to find the composition of functions.

Q: Give an example of continuous function?

A:

Q: Describe the behavior of a function when the magnitude of the independent variable x becomes…

A: End behaviour of a function: The end behaviour of a function 'f' describes the behaviour of the…

Q: What is slope function?

A: To define the slope function.

Q: when both the dependent and independent values of a function increase, it is said to be ?

A:

Q: Explain how to approximate the change in a function ƒ when the independent variables change from (a,…

A: Concept:An independent variable is that one whose value does not dependent or vary on any other…

Q: Differentiate the function.

A:

Q: which function is called enginerring function?

A: In the entire life I have not heard about enginerring function. However there are certain functions…

Q: What is the constant function?

A:

Q: Is the rate of change of a linear function constant? Explain.

A: The function is a linear function. The linear function is of the form Ax+B, here A and B are the…

Q: A linear function represents a curved line. O True False

A:

Q: Differentiate the function

A:

Q: Elaborate the stream function with the help of example.

A:

Q: a function?

A: We know that ,  For a relation to be function each element of A should have single image in B.

Q: Use the linear function to predict the percentage of adults on weight-loss diets in 2007.

A: c. The linear function representing the percentage of adults on diets in terms of x years after 1987…

Q: Is a constant function even or odd?

A:

Q: What is the definition of gradient of a function? Give an example

A:

Q: When functions are defined by more than one equation,they are called ___________________ functions.

A: When functions are defined by more than one equation, they are called ___________________ functions.

Q: What is the midline equation for the function

A:

Q: Determine whether the function (shown in the table below) could be linear or cannot be linear. A -…

A: The coordinates of points of the function are shown in the table given in the problem. For 1st and…

Q: Determine if the following sets of functions are linearly dependent or linearly independent.

A:

Q: Find the linear function with the following properties.

A: A linear function is in the form of y = f(x) = mx+c where m is slope and c is y-intercept.

Q: A data table for Y = Y(X) with evenly spaced values for X can be modeled with a linear function if…

A:

Q: Can two level curves of a function intersect? Explain.

A: From the definition, two level curves of a function can't intersect. One level curve is given as…

Q: is the domain? What is the range? can you represent the relationship een time traveled and speed?…

A: a. It is known that, speed travelled by the train depends upon the amount of time. Let x be the time…

Q: Define the term constant function.

A: The constant function is defined as the function whose all domain value maps into a single value in…

Q: define convolution of two functions?

A:

Q: How can we Represent a Function Numerically?

A: A function f from a set A to a set B is a rule that associates every member of set A a unique member…

Q: What is an even function?

A: we have to tell what is an even function.

Q: Does the table below represent a linear function? Explain the space

A: We have given that, X=5,6,7,8 and f(x) =5,8,11,13 Thus, we have following co-ordinates points as…

Q: Is it possible for two different level curves of a function to intersect?Explain.

A: Query- Is it possible for two different level curves of a function to intersect and explain. Answer-…

Q: Give two examples of functions that are not differentiable.

A: The function is non differentiable at points where limit does not exists or infinite

Q: I need help finding the rate of change of a function

A: To explain the concept and technique to calculate the rate of change of a given function

Q: Determine whether the following functions are linear or non-linear and explain how you know. 1. 2.…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Define the term One-to-One Functions?

A: Definition of One-to-One functions:

Q: why are linear functions sometimes symmetric about the y-axis but never symmetric about the x-axis?…

A: Concept of Symmetry about the axes:…

Q: What is the Horizontal Line Test for One-to-One Functions?

A: we have to define the horizontal line test for One-to-One Functions.

Q: Do you use x-coordinates or y-coordinates when describing where functions increase, decrease, or are…

A: Whether to check x or y coordinates, when describing where functions increase, decrease or are…

Q: Differentiate the function. y= xx

A: Differentiation: y=xxTaking log on both sides we get,ln y=ln(xx)ln y=x ln(x)

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: