The graph increases without bound as x approaches positive infinity.The graph is asymptotic to the x-axis as x approaches negative infinity.The graph passes through the co-ordinates (0,1).Here are some exponential function properties when the base is greater than 1. The particular functions are applicable on both sides of an equation. When a=1, then regardless of what x is, the value of f(x) will be 1.Īs we know that one to one functions have numerous properties and have inverses that are functions as well. Example: If a=-3, then (-3) 0.5 = sqrt(-3) which isn't real number. Reason: Suppose a≤0, and if you raise it to rational power, you may not obtain a real number. The easiest exponential function is: f(x) = a x, a>0, a≠1 Exponential functions have some restrictions and reason is given below: If in an equation both exponential & algebraic solutions are present, then the solution can be represented as a graphical or numerical method. These functions may not be expressed as rational or roots of rational numbers.Įxponential functions can be solved on a paper however, you will require a calculator to find the approximate value in decimals. ![]() Now, we will learn about the exponential function. These are represented using arithmetic operations. ![]() Algebraic functions are either rational or a root of a rational number. It is somewhat different than the algebraic function. What is Exponential function and properties?Įxponential functions are not similar to algebraic functions.
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