f(x)= axb
or
y= axb
Chat with our AI personalities
y = ax, where a is some constant, is an exponential function in x y = xa, where a is some constant, is a power function in x If a > 1 then the exponential will be greater than the power for x > a
A linear function has and x and a y and neither one is raised to a power other than 1.
Neither variable appears anywhere in the equation in a denominator, or raised to any power except the first power.
An equation just has an equal sign. A function is basically just an equation without one!
A polynomial equation of order >1 that is, where the power of the variable is greater than 1 is a non linear function. A transcendental function is one that cannot be expressed as a finite number of algebaraic operations (addition, multiplication, roots). The exponential and trigonometric functions (and their inverses) are examples.