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A linear function is a function in which only the first power of the variables appears.
A linear function is in the form of y=ax+b. When graphed, the graph is a straight line.
'a' is the slope of the line, 'b' is the value of 'y' where the line crosses the y-axis.
For example: y=2x+4 is a linear function
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Are linear equations and functions different?
All linear equations are functions but not all functions are linear equations.
Arithmetic sequences are to linear functions as geometric sequences are to what?
Exponentail functions
Is the sum of two linear functions always a linear function?
Yes. You would have to multiply to change it.
What linear functions are non inverse function?
x = constant.
Are all arithmetic sequences an example of linear functions?
Yes.
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.
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.
How are linear equations and functions alike and how are they different?
A linear equation is a special type of function. The majority of functions are not linear.
When can you use linear quadratic functions?
There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.
What similarities and differences do you see between the function and linear equations?
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
What are non linear functions?
Functions that do not result in a line when graphed.
What are two linear functions?
y = 0 and y = 1 are two linear functions. They're not especially interesting ones.
What are linear functions?
A linear function is of the form y = ax + b
Is the sum of two linear functions also a linear function?
Yes.
