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Do linear graphs represent proportional relationships?
Do all linear graphs have proportional relationship
How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
If two quantities are said to be proportional they must be related by a linear function?
noy = k x2, is a non linear functionditto for higher order functions : salary = constant X (year of education) 1.5
Do all linear equations need to be proportional?
No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.
How are functions like linear equations?
Most functions are not like linear equations.
Do linear graphs represent proportional relationships?
Do all linear graphs have proportional relationship
Are linear equations and functions different?
All linear equations are functions but not all functions are linear equations.
How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Are all linear equations functions Is there an instance when a linear equation is not a function?
Linear equations are always functions.
Are all functions linear?
yes yes No, vertical lines are not functions
Are all linear equations functions?
yes yes No, vertical lines are not functions
If two quantities are said to be proportional they must be related by a linear function?
noy = k x2, is a non linear functionditto for higher order functions : salary = constant X (year of education) 1.5
Are all arithmetic sequences an example of linear functions?
Yes.
How do linear and exponential functions change over equal intervals?
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.
How are functions and linear equations similar?
Linear equations are a small minority of functions.
How are functions like linear equations?
Most functions are not like linear equations.
Do all linear equations need to be proportional?
No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.
