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Algebraic functions powerpoint
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- 2. What are Algebraic Functions? Afunction that involves only algebraic operations, like, addition, subtraction, multiplication, and division as well as fractional or rational exponents. y= is now f(x)=
- 3. Function Input Number insertedinto the function. f(x)=x+7 f(3)=3+7 This is known as Domain (x).
- 4. Function Output Number “spitout” of function. The outcome of an input. f(3)=3+7=10 This is known as Range (y).
- 5. Functions With Same Output Differentinputs can have equal outputs. This IS a function.
- 6. Is it aFunction? One input has two outputs. This is NOT a function.
- 7. Ordered Pairs Points ona graph. Can be pulled from a table. {(2,6),(3,5), (5,7),(7,9)}
- 8. Vertical Line Test Onlyone point crosses. If two points=>not a function.
- 9. Linear Algebraic Functions A functionthat can be graphically represented in the Cartesian coordinate plane by a straight line. f(x)=mx+b
- 10. Solving for Linear Functions 27x+9y=18solve for y -27x from both sides 9y=-27x+18 /9 on both sides y=-3x+2
- 11. Tables for Linear Functions Inputvalues for x f(x)=-3x+2
- 12. Graphing Linear Functions f(x)=mx+b b isthe y-intercept m is the slope x is any value (input)
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- 14. Is This aLinear Function? 14x-28y=7 solve for y -14x from both sides -28y=-14x+7 /-28 on both sides y=(1/2)x-(1/4) Yes! Fractions can be constants!
- 15. Is This aLinear Function? −𝟗𝒙 𝟐 +3y=12 solve for y +𝟗𝒙 𝟐 to both sides 3y=9𝒙 𝟐 +12 /3 on both sides y=3𝒙 𝟐 +4
- 16. Continuation… y=3𝒙 𝟐+4 No! Thisis a Quadratic function! Quadratics are our next section.
- 17. Citations Slide 2Citation: Algebraic Functions: Definition & Examples. (n.d.). Retrieved from http://study.com/academy/lesson/algebraic-function- definition-examples.html Slide 9 Citation: Linear Function. (n.d.). Retrieved from http://www.icoachmath.com/math_dictionary/Linear_Funct ion.html