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spin [16.1K]
3 years ago
7

What is the difference between a linear function and a nonlinear function? Explain what each looks like when represented as a ta

ble and as a graph.
Mathematics
3 answers:
Brut [27]3 years ago
5 0
The difference between the linear and nonlinear functions are their degrees. For linear functions, the highest order is only 1 while more than for those nonlinear functions. If these are presented in graphs, linear functions would generate straight lines while parabola or other curved lines will be generated for nonlinear functions. 
emmainna [20.7K]3 years ago
4 0

The <em><u>correct answer</u></em> is:

A linear function has a constant rate of change, while a non-linear function does not have a constant rate of change.

Explanation:

As the name implies, a linear function will graph as a straight line. Since it is a straight line, this means that the distance between any two consecutive points must be the same; it must go up or down the same amount between each pair of points, or it will not form a straight line.

This means that a table of a linear function will have consecutive values that either increase or decrease by the same amount.

A non-linear function, on the other hand, will <em>not </em>have these things. It will <em>not </em>graph as a straight line, and each pair of consecutive points will <em>not </em>increase or decrease by the same amount. Instead, they will increase or decrease by different amounts.

Naetoosmart2 years ago
0 0

Sample Response: A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of values to be linear, the dependent variable must have a constant rate of change as the independent variable increases by 1. On a graph, the function must be a straight line to be linear.

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harkovskaia [24]

Answer:

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

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Step-by-step explanation:

Given as :

The distance cover by David = \frac{21}{4} miles = 5.25 miles

The time taken by David        = \frac{1}{2}  hours  = 0.5 hours

Let the speed                          = x mile per hour

So, Distance = Speed × Time

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Or,  Speed = \frac{5.25}{0.5}

∴     speed = 10.5 miles per hour

<u>B) Again The Distance cover by him = 18 miles</u>

SO, with speed 10.5 miles per hour

The Time taken by him =  \frac{Distance}{speed} hours

Or, Time taken by him =  \frac{18}{10.5} hours

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Answer:

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Step-by-step explanation:

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I will stop using the units for now so it won't be as confusing

14x = 15

Divide both sides by 14 to isolate the variable

14x ÷ 14 = 15 ÷ 14

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