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Q: How can you tell by looking at an function if it is linear or nonlinear?
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How can you tell by looking at the graph of a function that it is nonlinear?

A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear


How can you tell by looking only at the equation of a function with no graph that it is nonlinear?

To be linear, there should only be constants, and variables with constant coefficients. No powers of variables, or numbers raised to the power of a variable, or any other nonlinear function such as log, ln, sin, cos, tan, cosh, etc.


How can you tell something is a linear function?

A function is linear if one variable is directly proportional to the other.


By looking at two linear equations how can you tell that the corresponding lines are parallel?

By looking st two linear equations you can tell that the corresponding lines are parallel when the slope is the same. The slope controls where the line is.


How can you tell if a function is linear or non linear?

If it can be written in the form y = mx + c where m and c are constants [or, equivalently, ax + by = k where a, b and k are constants] then y is a linear function of x.


How to tell the difference of a linear and non linear function without it on a graph?

A linear function, of a variable x, is of the form ax+b where a and b are constants. A non-linear function will have x appearing in some other form: raised to a power other than 1, or in a trigonometric, or exponential or other form.


How can you tell if a graph is a linear function?

The word linear means in a straight line. If the graph is a line, it is linear. Also, linear equations are of the first order; they contain a variable but not a square (or higher power) of a variable. If the equation contains x2 it is not linear.


How can you tell if a linear appoximation is too large or too small?

The precision of a linear approximation is dependent on the concavity of the function. If the function is concave down then the linear approximation will lay above the curve, so it will be an over-approximation ("too large"). If the function is concave up then the linear approximation will lay below the curve, so it will be an under-approximation ("too small").


How can you tell a linear function from an equation?

An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.


How can you tell by looking at a graph if the represntation is a function?

if a certain abscissa corresponds to more than one ordinate, then it is not a function.


Can you tell if a relation is a function by just looking the range?

no i dont think so:(


Describe how you can tell by looking at the graph of a function with variable is the input variable and which is the output variable?

You cannot.