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Example Of Solving Exponential Equations:

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Example Of Solving Exponential Equations:

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Inverse functions: Functions that "reverse" each other.

The inverse of f, denoted f−1, (read as "f inverse"), and will reverse mapping.

Logarithmic: A logarithmic function is the name given to the inverse of exponential functions. From measuring the magnitude of an earthquake, to determining the pH of a solution to measuring the strength of sound, logarithms are a useful tool.

Example: 3^4 = 81 Can be written as the logarithm log381.

(Product = Logarithm of 81 to the base of 3 is equal to 4.)
-(Sarina.M,2021)

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-Sarina.M,2021

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Expressed in the equation f(x)=p(x)/q(x)

Numerator/p(x) cannot be zero

Must have a degree of 1 in the denominator/q(x)

Reciprocal at 1/x,

as x gets smaller, the outcome is larger

as x approaches 0 from the left (negative), f(x) approaches negative infinity

-(Ljubo,2021)

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STEPS:

Vertical Asymptotes

Horizontal Asymptotes

X-intercept when y=0

Y-intercept when x=0

Symmetry at f(-x)
-(Ljubo,2021)

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Using Exponent Laws -(Sarina.M,2021)

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-(Sarina.M,2021)

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Definition: Inequality that contains a rational expression
HOW TO SOLVE:

Put the inequality in general form (if applicable)

Set the denominator and numerator to zero

Plot the values onto a number line

Take a test number into each interval, plug it into the original inequality

Determine if the intervals should be in the solution

-(Ljubo,2021)

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Definition: A curve of a line which the distance of the curve and the line approaches zero and x and y approach infinity

Derived from the Greek word asumptotos meaning not falling together -(Ljubo,2021)

Three kinds: Horizontal, Vertical and Oblique

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How to Graph Rational/Exponential Functions:

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How to Graph Rational/Exponential Functions:

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STEPS:

(If you don’t have a Graphing Calculator)

Use a table of values

Plug in your x values to get a y value

Plot the points on a graph

-Sarina.M,2021

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Algebraic function where the numerator and denominator are polynomials -(Ljubo,2021)

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A function whose value (y) is a constant (b) raised to the power of the argument(x); where the variable appears in the exponent. -(Sarina.M,2021)