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# Radical Functions

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by

Tweet## Maria Ramirez

on 5 February 2013#### Transcript of Radical Functions

A tutoring session with:

Chris,Raven,Austin, and Maria

Subject: Radical Functions Parent Function How do I a graph an equation? If a, your constant, is greater than 0, your graph will stretch, but if it is less than 0, your graph will shrink! Parameter Changes TEK: 2A.9A If the variable "a" is less than 0 the graph will reflect

on the X axis. Depending or the numerical value of the variable"c," the graph will be translated on the Y axis of the given value. 1. Choose x values, that are easy to find

like perfect square roots, ex: 4, 9,16, 25. 0

1

4

9 X y 0

1

2

3 or Depending or the numerical value of the variable"b," the graph

will be translated on the X axis of the given value. Depending or the numerical value of the variable"b," the graph

will be translated on the X axis of the given value. Standard Form TEK: 2A.9A TEK: 2A.9A TEK: 2A.9A TEK: 2A.9A TEK: 2A.9E TEK: 2A.9B Domain and Range X+2 0 -2 -2 Domain: You take the domain and plug in! y= -2+2 y= -2+2=0

x=2

y=0

(-2,0) Range starts here! TEK: 2A.9C WORLD PROBLEM

When an object is dropped from a point above the ground the amount of time it takes to hit the ground is given by the equation , where d is the distance above the ground, in meters, and t is given in seconds. Using the graph of this function, approximately how many seconds will it take an object to hit the ground if it is dropped from a height of 30 meters above the ground? What would the graph then look like if t was less than 2d/9.8?

2.5 seconds

30 seconds

5 seconds

6 seconds Radical Functions in the Real World GRAPH INEQUALITY Inverses "Roots" (or "radicals") are the "opposite" operation of applying exponents; you can "undo" a power with a radical, and a radical can "undo" a power. For instance, if you square 2, you get 4, and if you "take the square root of 4", you get 2; if you square 3, you get 9, and if you "take the square root of 9", you get 3: http://www.purplemath.com/modules/graphrad.htm Now let's try a challenge!

Full transcriptChris,Raven,Austin, and Maria

Subject: Radical Functions Parent Function How do I a graph an equation? If a, your constant, is greater than 0, your graph will stretch, but if it is less than 0, your graph will shrink! Parameter Changes TEK: 2A.9A If the variable "a" is less than 0 the graph will reflect

on the X axis. Depending or the numerical value of the variable"c," the graph will be translated on the Y axis of the given value. 1. Choose x values, that are easy to find

like perfect square roots, ex: 4, 9,16, 25. 0

1

4

9 X y 0

1

2

3 or Depending or the numerical value of the variable"b," the graph

will be translated on the X axis of the given value. Depending or the numerical value of the variable"b," the graph

will be translated on the X axis of the given value. Standard Form TEK: 2A.9A TEK: 2A.9A TEK: 2A.9A TEK: 2A.9A TEK: 2A.9E TEK: 2A.9B Domain and Range X+2 0 -2 -2 Domain: You take the domain and plug in! y= -2+2 y= -2+2=0

x=2

y=0

(-2,0) Range starts here! TEK: 2A.9C WORLD PROBLEM

When an object is dropped from a point above the ground the amount of time it takes to hit the ground is given by the equation , where d is the distance above the ground, in meters, and t is given in seconds. Using the graph of this function, approximately how many seconds will it take an object to hit the ground if it is dropped from a height of 30 meters above the ground? What would the graph then look like if t was less than 2d/9.8?

2.5 seconds

30 seconds

5 seconds

6 seconds Radical Functions in the Real World GRAPH INEQUALITY Inverses "Roots" (or "radicals") are the "opposite" operation of applying exponents; you can "undo" a power with a radical, and a radical can "undo" a power. For instance, if you square 2, you get 4, and if you "take the square root of 4", you get 2; if you square 3, you get 9, and if you "take the square root of 9", you get 3: http://www.purplemath.com/modules/graphrad.htm Now let's try a challenge!