Q: Compare and Contrast Linear and Exponential Functions?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

It seems part of this question is missing. Perhaps the answer is that you might compare the effect to basic functions such as linear, quadratic, or exponential.

Piecewise, linear, exponential, quadratic, Onto, cubic, polynomial and absolute value.

They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.

Linear equations are a small minority of functions.

Most functions are not like linear equations.

Related questions

They have infinite domains and are monotonic.

It seems part of this question is missing. Perhaps the answer is that you might compare the effect to basic functions such as linear, quadratic, or exponential.

is the relationship linear or exponential

Piecewise, linear, exponential, quadratic, Onto, cubic, polynomial and absolute value.

Exponential Decay. hope this will help :)

neither linear nor exponential functions have stationary points, meaning their gradients are either always +ve or -ve

You find out if a problem is linear or exponential by looking at the degree or the highest power; if the degree or the highest power is 1 or 0, the equation is linear. But if the degree is higher than 1 or lower than 0, the equation is exponential.

The linear function changes by an amount which is directly proportional to the size of the interval. The exponential changes by an amount which is proportional to the area underneath the curve. In the latter case, the change is approximately equal to the size of the interval multiplied by the average value of the function over the interval.

All linear equations are functions but not all functions are linear equations.

It closely approximates an exponential function.

I think the word you're looking for is "exponential". A linear expression is of the form ax + b whereas an exponential expression is of the form x^a + b.

They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.