Download presentation

Presentation is loading. Please wait.

1
**PARENT FUNCTIONS Constant Function Inverse**

Linear (Identity) Inverse Squared Absolute Value Exponential Quadratic Logarithmic Cubic Sine Square Root Cosine Signum Greatest Integer

2
**Parent Functions Menu Constant Function Inverse or Rational**

1) Click on this Button to View All of the Parent Functions. or 2) Click on a Specific Function Below for the Properties. 3) Use the button to return to this menu. Constant Function Inverse or Rational Linear (Identity) Inverse Squared Absolute Value Exponential Quadratic Logarithmic Cubic Sine Square Root Cosine Signum Greatest Integer

3
Constant Function f(x) = a where a = any #

4
Constant Function Domain: Range: Parent Equation: f(x) = 2

5
**x – intercept: y – intercept: None Parent Equation: f(x) = 2**

Constant Function Parent Equation: f(x) = 2 x – intercept: y – intercept: None

6
**Table: x y -2 2 -1 1 Parent Equation: f(x) = 2**

Constant Function Table: x y -2 2 -1 1 Parent Equation: f(x) = 2 Graph Description: Horizontal Line

7
Linear Function (Identity) f(x) = x

8
Linear Function (Identity) Domain: Range: Parent Equation: f(x) = x

9
**y – intercept: x – intercept: Parent Equation: f(x) = x**

Linear Function (Identity) Parent Equation: f(x) = x x – intercept: y – intercept:

10
**Parent Equation: f(x) = x**

Linear Function (Identity) Table: x y -2 -1 1 2 Parent Equation: f(x) = x Graph Description: Diagonal Line

11
Absolute Value Function f(x) = │x │

12
Absolute Value Function Parent Equation: f(x) = │x │ Domain: Range:

13
**y – intercept: x – intercept: Parent Equation: f(x) = │x │**

Absolute Value Function Parent Equation: f(x) = │x │ x – intercept: y – intercept:

14
**Table: x y -2 2 -1 1 Parent Equation: Graph Description: “V” - shaped**

Absolute Value Function Table: x y -2 2 -1 1 Parent Equation: f(x) = │x │ Graph Description: “V” - shaped

15
Quadratic Function f(x) = x 2

16
Quadratic Function Parent Equation: f(x) = x 2 Domain: Range:

17
**y – intercept: x – intercept: Parent Equation: Quadratic Function**

f(x) = x 2

18
**Table: x y -2 4 -1 1 2 Parent Equation:**

Quadratic Function Table: x y -2 4 -1 1 2 Parent Equation: f(x) = x 2 Graph Description: “U” - shaped

19
Cubic Function f(x) = x 3

20
Cubic Function Parent Equation: f(x) = x 3 Domain: Range:

21
**y – intercept: x – intercept: Parent Equation: Cubic Function**

f(x) = x 3

22
**Table: x y -2 -8 -1 1 2 8 Parent Equation:**

Cubic Function Table: x y -2 -8 -1 1 2 8 Parent Equation: f(x) = x 3 Graph Description: Squiggle, Swivel

23
Square Root Function f(x) = x

24
Square Root Function Parent Equation: f(x) = x Domain: Range:

25
**y – intercept: x – intercept: Parent Equation: Square Root Function**

f(x) = x

26
**Table: x y 1 4 2 9 3 16 Parent Equation: Square Root Function f(x) = x**

1 4 2 9 3 16 Parent Equation: f(x) = x Graph Description: Horizontal ½ of a Parabola

27
**Inverse Function or Rational Function**

(Reciprocal of x) f(x) = 1 x

28
**Inverse Function or Rational Function**

(Reciprocal of x) f(x) = 1 x Parent Equation: Domain: Range:

29
**Inverse Function or Rational Function**

(Reciprocal of x) f(x) = 1 x Parent Equation: x – intercept: y – intercept:

30
**Inverse Function or Rational Function**

(Reciprocal of x) Table: x y -2 -0.5 -1 Error 1 2 0.5 f(x) = 1 x Parent Equation: Graph Description: Opposite “L” Curves in 1st and 3rd Quadrants

31
Inverse Squared Function (Reciprocal of x 2) f(x) = 1 x 2

32
**Parent Equation: Domain: Range: Inverse Squared Function**

(Reciprocal of x 2) f(x) = 1 x 2 Parent Equation: Domain: Range:

33
**y – intercept: x – intercept: Parent Equation: Inverse Squared**

Function (Reciprocal of x 2) f(x) = 1 x 2 Parent Equation: x – intercept: y – intercept:

34
**Table: x y -2 0.25 -1 1 Error 2 Parent Equation: Inverse Squared**

Function (Reciprocal of x 2) Table: x y -2 0.25 -1 1 Error 2 f(x) = 1 x 2 Parent Equation: Graph Description: Symmetrical “L” Curves in 1st and 2nd Quadrants

35
Exponential Function b = base and x = exponent

36
Exponential Function Parent Equation: f(x) = 2x Domain: Range:

37
**y – intercept: x – intercept: Parent Equation: Exponential Function**

f(x) = 2x y – intercept: x – intercept:

38
**Table: x y -2 0.25 -1 0.5 1 2 4 Parent Equation: Exponential Function**

1 2 4 Parent Equation: f(x) = 2x Graph Description: Backwards “L” Curves

39
Logarithmic Function f(x) = log x

40
Logarithmic Function Parent Equation: f(x) = log x Domain: Range:

41
**y – intercept: x – intercept: Parent Equation: Logarithmic Function**

f(x) = log x x – intercept: y – intercept:

42
**Table: x y -2 Error -1 1 2 0.301 Parent Equation: Logarithmic Function**

1 2 0.301 Parent Equation: f(x) = log x Graph Description: Upside Down “L” curve in 1st and 4th Quadrant

43
Step Function (Greatest Integer) f(x) = [x]

44
**Domain: Range: Parent Equation: Step Function (Greatest Integer)**

f(x) = [x] Domain: Range:

45
**y – intercept: x – intercept: Parent Equation: Step Function**

(Greatest Integer) Parent Equation: f(x) = [x] y – intercept: x – intercept:

46
**Table: x y Parent Equation: Graph Description: Stair Steps**

Step Function (Greatest Integer) Table: x y -2 -1 1 2 Parent Equation: f(x) = [x] Graph Description: Stair Steps

47
Signum Function

48
Signum Function Parent Equation: Domain: Range:

49
Signum Function Parent Equation: x – intercept: y – intercept:

50
**Table: x y Signum Function Parent Equation:**

-2 -1 1 2 Parent Equation: Graph Description: Left and Right Arrows Opposite Directions

51
Sine Function f(x) = sin x

52
Sine Function Parent Equation: f(x) = sin x Domain: Range:

53
**y – intercept: x – intercept: Parent Equation: Sine Function**

f(x) = sin x x – intercept: y – intercept:

54
**Table: x y Sine Function Parent Equation: f(x) = sin x**

-2 -1 1 0.8415 2 0.9093 Parent Equation: f(x) = sin x Graph Description: Wavy, above and below x-axis with y-int at (0, 0)

55
Cosine Function f(x) = cos x

56
Cosine Function Parent Equation: f(x) = cos x Domain: Range:

57
Cosine Function f(x) = cos x y – intercept: x – intercept:

58
**Table: x y Cosine Function Parent Equation: f(x) = cos x**

-2 -1 0.5403 1 2 Parent Equation: f(x) = cos x Graph Description: Wavy, above and below x-axis with y-int at (0, 1)

Similar presentations

OK

Lesson 1.2 Calculus. Mathematical model: A mathematical description of a real world situation.

Lesson 1.2 Calculus. Mathematical model: A mathematical description of a real world situation.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on case study of nokia Ppt on nanotechnology Ppt on service level agreement Ppt on asymptotic notation of algorithms define Ppt on beer lambert law extinction Ppt on retail management information system Ppt on strategic leadership Ppt on kingdom monera images Ppt on supply chain management of nokia x Present ppt on ipad