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If you feel like you are still not ready for the test, remember these:Exponential Function: Defined as
π(π₯)=ππ₯
where: x is a variable a is a constant (base), π>0
a>0 and πβ 1Exponential Equations: Equations where the exponents are variables.Exponential Inequalities: Inequalities involving exponents that can be solved using traditional methods and involve inequality symbols.Behavior of Exponential Functions:Dependent on the value of x and the base π
For β1<π₯<1, the function is undefined if π₯ is negative.Growth Characteristics: Under exponential growth, quantities initially increase slowly but accelerate rapidly.
The rate of change increases over time, indicating an βexponential increase.βDetermining Function Type:
Function: Follows the form
π(π₯)=ππ₯
Equation: Involves a variable exponent.
Inequality: Involves expressions with inequality symbols related to exponents.(Ideas from Khan Academy)