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How many zeros can you have in an algebraic function?
For an algebraic function in one variable, as many as the highest power of the variable.
What one thing in this function tells you it will be nonlinear?
The presence of any term that is not a constant or a multiple of the independent variable. It can be any other power of that variable, or a trigonometric or exponential or any other function.
What makes a function linear?
Neither variable appears anywhere in the equation in a denominator, or raised to any power except the first power.
How do you know whether a relation is a function?
Use the definition of a function. If, for any value of one variable, there is only a single possible value of the second variable, then the second variable is a function of the first variable. The second variable is often called the "dependent variable". If you can solve an equation explicitly for the dependent variable, then it is a function. If you can NOT solve it for a variable, it may or may not be a function - it turns out that some equations are hard or impossible to solve explicitly for one of the variables.
What is another name for the output variable in a function?
Dependent variable
How many zeros can you have in an algebraic function?
For an algebraic function in one variable, as many as the highest power of the variable.
What is the difference between power functions and exponential functions?
A power function has the equation f(x)=x^a while an exponential function has the equation f(x)=a^x. In a power function, x is brought to the power of the variable. In an exponential function, the variable is brought to the power x.
Is the highest power of the independent variable in a quadratic function 2?
Yes.
What one thing in this function tells you it will be nonlinear?
The presence of any term that is not a constant or a multiple of the independent variable. It can be any other power of that variable, or a trigonometric or exponential or any other function.
What is the difference be a polynomial function and an exponential function?
In a polynomial function, the variable x is raised to some integer power. f(x) = 5x³ + 8x⁵ g(x) = (x + 5)² In an exponential function, some real number is raised to the power of variable x or some function of x f(x) = 5ˣ g(x) = eˣ⁺²
How do you know a function is linear?
If the variable x is raised to the power of 1 or 0. No other possibilities.
What makes a function linear?
Neither variable appears anywhere in the equation in a denominator, or raised to any power except the first power.
Why all variables are declared with in the function?
It is not necessary to to declare variables inside the function in C. If you declare a variable inside a function, the variable becomes local for the function and another variable of same name can be declared in any other function, but you can not use the variable declared in other function. When you declare any variable outside the function body then the variable becomes global and can be used in any function of the program. Note: errno is an example for a variable declared outside any function.
What is the greatest number of x intercepts that a function may have?
The same number as the highest power of the independent variable.
Do the dependent variable act as the input of a function and the independent variable act as the output of the function?
No.
What do you call a variable of a function that is active only within the procedure or its function?
local variable
What is the output variable of a function?
It is a value in the co-domain [range] of the function.
