Rational Vs. Exponential Functions by sarina Martins https://padlet.com/sarinamartins22/6i10tpewxcgekiz1 Grade 12 Mathematics en-us 2021-11-09 20:05:33 UTC 2025-12-16 06:47:14 UTC hello@padlet.com https://padlet.net/icons/png/1f469-1f4bb.png Rational Function sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879358655 Algebraic function where the numerator and denominator are polynomials -(Ljubo,2021)

]]> 2021-11-09 19:56:39 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879358655 Exponential Function VS... sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879364308 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)]]> 2021-11-09 19:59:23 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879364308 How to Graph Rational/Exponential Functions: sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879380403 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
]]> 2021-11-09 20:06:52 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879380403 Asymptope sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879385468 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 
]]> 2021-11-09 20:09:12 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879385468 Rational Inequalities sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879388637 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)

]]> 2021-11-09 20:10:48 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879388637 Exponential Restrictions: sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879392000 -(Sarina.M,2021)]]> 2021-11-09 20:12:28 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879392000 Solving Exponential Equations: sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879396810 Using Exponent Laws -(Sarina.M,2021)]]> 2021-11-09 20:14:58 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879396810 Solving A Rational Function: sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879400637 STEPS:

  • Vertical Asymptotes
  • Horizontal Asymptotes
  • X-intercept when y=0
  • Y-intercept when x=0
  • Symmetry at f(-x)
    -(Ljubo,2021)
]]> 2021-11-09 20:16:51 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879400637 Characteristics Rational Functions: sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879404663
  • 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)


    ]]>     2021-11-09 20:18:59 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879404663     Characteristics of Exponential Functions sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879407517 -Sarina.M,2021]]> 2021-11-09 20:20:34 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879407517 Exponential and Logarithmic Functions sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879409306
  • 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)

    ]]>     2021-11-09 20:21:32 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1879409306     Example Of Solving Exponential Equations: sarinamartins22 https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1882355719 2021-11-10 20:12:00 UTC https://padlet.com/sarinamartins22/6i10tpewxcgekiz1/wish/1882355719