graphs of functions
DESCRIPTION
Graphs of Functions. Mr. Sharpless’s 11 th Grade Mathematics Class. Click to continue. Linear. Polynomial. Absolute Value. Quadratic. Square root. Rational. Greatest Integer. Sinusoids. Click for quiz. Linear. Graphs a line The general form is: F(x)= mx+b - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/1.jpg)
Graphs of Functions
Mr. Sharpless’s11th Grade
Mathematics Class
Click to continue
![Page 2: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/2.jpg)
Linear
Quadratic
Polynomial
Rational
Greatest Integer
Absolute Value
Sinusoids
Square root
Click for quiz
![Page 3: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/3.jpg)
Linear
• Graphs a line• The general form
is: F(x)=mx+b• M is the slope of
the line• B is where the
line crosses the y-axis
• Practical Use: Distance travel at a constant speed
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![Page 4: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/4.jpg)
Quadratic
• Graphs a Parabola.• Standard form:
F(x)=Ax2+Bx+C• Vertex Form: F(x)=a(x-
h)2+k• A is the Stretch of the
graph• -H is the horizontal shift• K is the Vertical shift• Practical Use: A ball
throw straight up is the air.
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![Page 5: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/5.jpg)
Absolute Value
• Graphs a “V”• The general Form:
F(x)=a|x-h|+k• a is the stretch of
the graph• -h is horizontal shift • k is the vertical shift• Practical use:
Distance as one passes the reference point
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![Page 6: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/6.jpg)
Polynomials
• Graphs “hills and valleys”
• Standard form: F(x)=xn+xn-
1+xn-2 … +x2+x+c
• Use Critical Points to graph this function.
• Practical Use: Falcon’s height over time.
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![Page 7: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/7.jpg)
Square root
• Graphs half of a sideways parabola .
• F(x) = a√(b(x-h))+k• A is the stretch of
the graph • H is the horizontal
shift• K is the vertical shift• Practical Use:
Distance vs time with a decelerating car.
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![Page 8: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/8.jpg)
Rational graph
• Graphs disconjoined curves.
• F(x)= • f(x) and g(x)
are both polynomial functions
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![Page 9: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/9.jpg)
Sinusoids
• Graph a oscillating curve.
• F(x) = a sin(bx – c) + dor F(x) = a cos(bx – c) + d• A is the amplitude.• B is the period• C is the horizontal shift• D is the vertical shift• Practical Uses: AC
Electrical Current vs time.
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![Page 10: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/10.jpg)
Greater Integer
• Graphs “steps”• F(x) =• A affects the
step’s spacing• B affects the
step’s length • C shifts the
graph vertically.• Practical Use:
Price of mailing a package vs weigh of package.
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![Page 11: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/11.jpg)
Quiz
Click on the correct answer: Which function would graph an oscillating curve?
A) F(x) = (X2 +1)/xB) F(x) = Sin (2x)C) F(x) = X + 4D)F(x) = |x - 3| + 4
![Page 12: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/12.jpg)
Sorry, F(x) = (X2 +1)/x graphs disconjoined curves
Click here to try again
![Page 13: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/13.jpg)
That’s Correct
Click to finish
![Page 14: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/14.jpg)
Sorry, F(x) = X + 4 graphs a line.
Click here to try again
![Page 15: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/15.jpg)
Sorry, F(x) = |x - 3| + 4 graphs a “V”
Click here to try again
![Page 16: Graphs of Functions](https://reader036.vdocuments.mx/reader036/viewer/2022062422/56813651550346895d9dd452/html5/thumbnails/16.jpg)
You have completed the graph of functions lesson.
Congratulations!
Click on the trophy to return to the first slide for the next student.