SlideShare a Scribd company logo
1 of 7
Download to read offline
Exponential Functions
x is an exponent




Note: as x increases (going L to R), y increases
They are said to be increasing functions
How about f(x) = ( )
                 we don't have fractional base




                        reflect over the y-axis


 A fractional base results in a decreasing function
Characteristics of Exp. Functions
                     ie. y = b

Domain: (-   ,   )
Range: y > 0



Asymptotes: y = 0 ie. H.A.
Increasing: b > 1
Decreasing: 0 < b < 1
Graph:
Use y = 2 as base graph
y = -3 · 2

More Related Content

What's hot

Inverse functions precalc
Inverse functions   precalcInverse functions   precalc
Inverse functions precalcRon_Eick
 
2 1 graphing linear equations
2 1 graphing linear equations2 1 graphing linear equations
2 1 graphing linear equationshisema01
 
3.3 graphs of exponential functions
3.3 graphs of  exponential functions3.3 graphs of  exponential functions
3.3 graphs of exponential functionshisema01
 
X2 T04 03 cuve sketching - addition, subtraction, multiplication and division
X2 T04 03 cuve sketching - addition, subtraction,  multiplication and divisionX2 T04 03 cuve sketching - addition, subtraction,  multiplication and division
X2 T04 03 cuve sketching - addition, subtraction, multiplication and divisionNigel Simmons
 
8.1 exponential growth
8.1 exponential growth8.1 exponential growth
8.1 exponential growthhisema01
 
Tutorials: Linear Functions in Tabular and Graph Form
Tutorials: Linear Functions in Tabular and Graph FormTutorials: Linear Functions in Tabular and Graph Form
Tutorials: Linear Functions in Tabular and Graph FormMedia4math
 
X2 T04 04 curve sketching - reciprocal functions
X2 T04 04 curve sketching - reciprocal functionsX2 T04 04 curve sketching - reciprocal functions
X2 T04 04 curve sketching - reciprocal functionsNigel Simmons
 
2 senarai rumus add maths k2 trial spm sbp 2010
2 senarai rumus add maths k2 trial spm sbp 20102 senarai rumus add maths k2 trial spm sbp 2010
2 senarai rumus add maths k2 trial spm sbp 2010zabidah awang
 
2 senarai rumus add maths k1 trial spm sbp 2010
2 senarai rumus add maths k1 trial spm sbp 20102 senarai rumus add maths k1 trial spm sbp 2010
2 senarai rumus add maths k1 trial spm sbp 2010zabidah awang
 
X2 T04 05 curve sketching - powers of functions
X2 T04 05 curve sketching - powers of functionsX2 T04 05 curve sketching - powers of functions
X2 T04 05 curve sketching - powers of functionsNigel Simmons
 
Presentacion funciones 30.424.570. 20%
Presentacion funciones 30.424.570.  20%Presentacion funciones 30.424.570.  20%
Presentacion funciones 30.424.570. 20%Rudolf Herrera
 

What's hot (16)

Inverse functions precalc
Inverse functions   precalcInverse functions   precalc
Inverse functions precalc
 
Tipos de funciones
Tipos de funcionesTipos de funciones
Tipos de funciones
 
2 1 graphing linear equations
2 1 graphing linear equations2 1 graphing linear equations
2 1 graphing linear equations
 
3.3 graphs of exponential functions
3.3 graphs of  exponential functions3.3 graphs of  exponential functions
3.3 graphs of exponential functions
 
Chapter 2 2.1.4
Chapter 2 2.1.4Chapter 2 2.1.4
Chapter 2 2.1.4
 
X2 T04 03 cuve sketching - addition, subtraction, multiplication and division
X2 T04 03 cuve sketching - addition, subtraction,  multiplication and divisionX2 T04 03 cuve sketching - addition, subtraction,  multiplication and division
X2 T04 03 cuve sketching - addition, subtraction, multiplication and division
 
8.1 exponential growth
8.1 exponential growth8.1 exponential growth
8.1 exponential growth
 
Exercise #9 notes
Exercise #9 notesExercise #9 notes
Exercise #9 notes
 
Tutorials: Linear Functions in Tabular and Graph Form
Tutorials: Linear Functions in Tabular and Graph FormTutorials: Linear Functions in Tabular and Graph Form
Tutorials: Linear Functions in Tabular and Graph Form
 
X2 T04 04 curve sketching - reciprocal functions
X2 T04 04 curve sketching - reciprocal functionsX2 T04 04 curve sketching - reciprocal functions
X2 T04 04 curve sketching - reciprocal functions
 
2 senarai rumus add maths k2 trial spm sbp 2010
2 senarai rumus add maths k2 trial spm sbp 20102 senarai rumus add maths k2 trial spm sbp 2010
2 senarai rumus add maths k2 trial spm sbp 2010
 
2 senarai rumus add maths k1 trial spm sbp 2010
2 senarai rumus add maths k1 trial spm sbp 20102 senarai rumus add maths k1 trial spm sbp 2010
2 senarai rumus add maths k1 trial spm sbp 2010
 
X2 T04 05 curve sketching - powers of functions
X2 T04 05 curve sketching - powers of functionsX2 T04 05 curve sketching - powers of functions
X2 T04 05 curve sketching - powers of functions
 
Reflections worksheet1student
Reflections worksheet1studentReflections worksheet1student
Reflections worksheet1student
 
Refactoring
RefactoringRefactoring
Refactoring
 
Presentacion funciones 30.424.570. 20%
Presentacion funciones 30.424.570.  20%Presentacion funciones 30.424.570.  20%
Presentacion funciones 30.424.570. 20%
 

Viewers also liked

Taller nº6 práctica docente ii
Taller nº6 práctica docente iiTaller nº6 práctica docente ii
Taller nº6 práctica docente iiNoe Difino
 
S A S007 Joseph 091807
S A S007  Joseph 091807S A S007  Joseph 091807
S A S007 Joseph 091807Dreamforce07
 
S A S008 Penekelapati 091907
S A S008  Penekelapati 091907S A S008  Penekelapati 091907
S A S008 Penekelapati 091907Dreamforce07
 
S A S001 Martin 091707
S A S001  Martin 091707S A S001  Martin 091707
S A S001 Martin 091707Dreamforce07
 
S A S005 Alexander 091807
S A S005  Alexander 091807S A S005  Alexander 091807
S A S005 Alexander 091807Dreamforce07
 
S A S002 Milburn 091707
S A S002  Milburn 091707S A S002  Milburn 091707
S A S002 Milburn 091707Dreamforce07
 

Viewers also liked (8)

Steven fondo
Steven fondoSteven fondo
Steven fondo
 
Taller nº6 práctica docente ii
Taller nº6 práctica docente iiTaller nº6 práctica docente ii
Taller nº6 práctica docente ii
 
S A S007 Joseph 091807
S A S007  Joseph 091807S A S007  Joseph 091807
S A S007 Joseph 091807
 
S A S008 Penekelapati 091907
S A S008  Penekelapati 091907S A S008  Penekelapati 091907
S A S008 Penekelapati 091907
 
S A S001 Martin 091707
S A S001  Martin 091707S A S001  Martin 091707
S A S001 Martin 091707
 
S A S005 Alexander 091807
S A S005  Alexander 091807S A S005  Alexander 091807
S A S005 Alexander 091807
 
S A S002 Milburn 091707
S A S002  Milburn 091707S A S002  Milburn 091707
S A S002 Milburn 091707
 
ppt
pptppt
ppt
 

More from jchartiersjsd

Combs perms review pascals
Combs perms review pascalsCombs perms review pascals
Combs perms review pascalsjchartiersjsd
 
Day 8 examples u7w14
Day 8 examples u7w14Day 8 examples u7w14
Day 8 examples u7w14jchartiersjsd
 
Day 7 examples u7w14
Day 7 examples u7w14Day 7 examples u7w14
Day 7 examples u7w14jchartiersjsd
 
Day 4 examples u7w14
Day 4 examples u7w14Day 4 examples u7w14
Day 4 examples u7w14jchartiersjsd
 
Day 3 examples u7w14
Day 3 examples u7w14Day 3 examples u7w14
Day 3 examples u7w14jchartiersjsd
 
Day 2 examples u7w14
Day 2 examples u7w14Day 2 examples u7w14
Day 2 examples u7w14jchartiersjsd
 
Day 1 examples u7w14
Day 1 examples u7w14Day 1 examples u7w14
Day 1 examples u7w14jchartiersjsd
 
Test outline comp rational
Test outline comp rationalTest outline comp rational
Test outline comp rationaljchartiersjsd
 
Day 7 examples u6w14
Day 7 examples u6w14Day 7 examples u6w14
Day 7 examples u6w14jchartiersjsd
 
Day 5 examples u6w14
Day 5 examples u6w14Day 5 examples u6w14
Day 5 examples u6w14jchartiersjsd
 
Day 4 examples u6w14
Day 4 examples u6w14Day 4 examples u6w14
Day 4 examples u6w14jchartiersjsd
 
Day 3 examples u6w14
Day 3 examples u6w14Day 3 examples u6w14
Day 3 examples u6w14jchartiersjsd
 
Day 2 examples u6w14
Day 2 examples u6w14Day 2 examples u6w14
Day 2 examples u6w14jchartiersjsd
 
Day 1 examples u6w14
Day 1 examples u6w14Day 1 examples u6w14
Day 1 examples u6w14jchartiersjsd
 
Mental math test outline
Mental math test outlineMental math test outline
Mental math test outlinejchartiersjsd
 
Day 8 examples u5w14
Day 8 examples u5w14Day 8 examples u5w14
Day 8 examples u5w14jchartiersjsd
 
Day 7 examples u5w14
Day 7 examples u5w14Day 7 examples u5w14
Day 7 examples u5w14jchartiersjsd
 
Day 5 examples u5w14
Day 5 examples u5w14Day 5 examples u5w14
Day 5 examples u5w14jchartiersjsd
 

More from jchartiersjsd (20)

Exam outline j14
Exam outline j14Exam outline j14
Exam outline j14
 
Test outline
Test outlineTest outline
Test outline
 
Combs perms review pascals
Combs perms review pascalsCombs perms review pascals
Combs perms review pascals
 
Day 8 examples u7w14
Day 8 examples u7w14Day 8 examples u7w14
Day 8 examples u7w14
 
Day 7 examples u7w14
Day 7 examples u7w14Day 7 examples u7w14
Day 7 examples u7w14
 
Day 4 examples u7w14
Day 4 examples u7w14Day 4 examples u7w14
Day 4 examples u7w14
 
Day 3 examples u7w14
Day 3 examples u7w14Day 3 examples u7w14
Day 3 examples u7w14
 
Day 2 examples u7w14
Day 2 examples u7w14Day 2 examples u7w14
Day 2 examples u7w14
 
Day 1 examples u7w14
Day 1 examples u7w14Day 1 examples u7w14
Day 1 examples u7w14
 
Test outline comp rational
Test outline comp rationalTest outline comp rational
Test outline comp rational
 
Day 7 examples u6w14
Day 7 examples u6w14Day 7 examples u6w14
Day 7 examples u6w14
 
Day 5 examples u6w14
Day 5 examples u6w14Day 5 examples u6w14
Day 5 examples u6w14
 
Day 4 examples u6w14
Day 4 examples u6w14Day 4 examples u6w14
Day 4 examples u6w14
 
Day 3 examples u6w14
Day 3 examples u6w14Day 3 examples u6w14
Day 3 examples u6w14
 
Day 2 examples u6w14
Day 2 examples u6w14Day 2 examples u6w14
Day 2 examples u6w14
 
Day 1 examples u6w14
Day 1 examples u6w14Day 1 examples u6w14
Day 1 examples u6w14
 
Mental math test outline
Mental math test outlineMental math test outline
Mental math test outline
 
Day 8 examples u5w14
Day 8 examples u5w14Day 8 examples u5w14
Day 8 examples u5w14
 
Day 7 examples u5w14
Day 7 examples u5w14Day 7 examples u5w14
Day 7 examples u5w14
 
Day 5 examples u5w14
Day 5 examples u5w14Day 5 examples u5w14
Day 5 examples u5w14
 

Sub notes 1

  • 1. Exponential Functions x is an exponent Note: as x increases (going L to R), y increases They are said to be increasing functions
  • 2. How about f(x) = ( ) we don't have fractional base reflect over the y-axis A fractional base results in a decreasing function
  • 3. Characteristics of Exp. Functions ie. y = b Domain: (- , ) Range: y > 0 Asymptotes: y = 0 ie. H.A. Increasing: b > 1 Decreasing: 0 < b < 1
  • 4. Graph: Use y = 2 as base graph
  • 5.
  • 6.
  • 7. y = -3 · 2