This document provides examples and explanations of exponential functions including: - Exponentials with natural exponents - Exponentials with integer exponents - Roots - Fractional exponents - Properties of exponents It also covers logarithmic functions including: - Definition of logarithms - Graphs of logarithmic functions - Properties of logarithms The document contains exercises for students to practice different concepts of exponential and logarithmic functions.

1. Funções
Professora Luana
1º ano

2. Função exponencial
01

3. Introdução

4. Potência de expoente natural
Exemplos:
a)
1
4
3
=
b) −5 2 =
c) 7
1
=
d) −1 3 =
e) −
3
2
4
=
f) −19 0
=

5. Potência de expoente inteiro negativo
Exemplos:
a) 5−2 =
b)
3
4
−1
=
c) 7
−2
=
d) −
2
5
−3
=

6. Raiz enésima
Exemplos:
a) 16 =
b)
3
27 =
c)
10
1024 =

7. Propriedades das raízes

8. Exemplos
a)
10
64 =
b) 12 + 108 =
c)
2
5
=
d)
5
3+2
=

9. Expoente fracionário
Exemplos:
a) 7
2
9 =
b)
1
3
−
3
5
=
c) 11
2
3
=
d)
1
81
−0,25
=

10. Propriedades de potência
Exemplos:
a) 2
3
∙ 2
7
=
b)
85
86 =
c) 5 ∙ 3 −5 =
d) 2: 5
2
=

11. Exercícios

12. Exercícios

13. Exercícios

14. Exercícios

15. FUNÇÃO EXPONENCIAL

16. Propriedades

19. Geogebra
Função Exponencial - Controle deslizante – GeoGebra

20. Características da função

23. Exercícios

26. Equações exponenciais

27. Resolução de equações exponenciais

28. Exercícios

29. Resolução de equações exponenciais

30. Resolução de uma equação exponencial

31. Exercícios

32. Resoluções de sistemas de equações exponenciais

33. Exercício

34. Inequações

35. Exemplo

36. Exercícios

37. Função logarítmica
02

38. Definição de logaritmo

39. Exercícios

40. Exercícios

41. Condição de existência

42. Exemplos

43. Exemplos

44. Exercícios

45. Consequências da definição de logaritmo

46. Exercícios

47. Propriedades

48. Exercício 1

49. Função logarítmica

50. Exercícios

51. Gráfico

52. Gráfico

53. Exercício

54. Exercício 2

55. Math Icon Pack

56. Problems operations with whole numbers
A pound of pears costs $1.30. Tony
bought a pound and a half of pears. If
he gave the clerk a $5.00 bill, how
much change will he get back?
Subtraction Addition
Joe drove for an hour and 25 minutes
on Tuesday, 15 minutes on
Wednesday, and 45 minutes on Friday.
What was the total number of minutes
Joe has been driven?

57. 9h 55m 23s
Is Jupiter's rotation period
333,000.000
Earths is the Sun’s mass
386,000 km
Is the distance between Earth and the Moon

58. Problems operations with whole numbers II
Susan has 2 oranges. She wants to give
one orange to her 5 best friends so
each friend gets the same amount.
How much of an orange will each
friend get?
Division Multiplication
A sport shop sold eight tracksuits, ten
caps and five sneakers every day for a
week. How many tracksuits were sold
during the week? And during a month?

59. Generate and analyze patterns
Which sequences below follow the rule of adding 7?
3, 9, 15, 21 5, 12, 19, 26 6, 10, 14, 18
2, 9, 16, 23 11, 16, 21, 26 1, 9, 17, 25

60. Interpreting the data from the graphic
Amount
of
stuff
Pens Rubbers Crayons Notebooks
Stuff Units
Pens ?
Rubbers ?
Crayons ?
Notebooks ?
Follow the link in the graph to modify its data and then paste the new one here. For more info, click here

61. —SOMEONE FAMOUS
“This is a quote, words full of wisdom that
someone important said and can make the
reader get inspired.”

62. List the four students from the shortest to the
tallest
Student Height
Helen 52 inches
Kate 3 ¼ feet
John 1 ⅓ yards
Kevin 3 feet and 4 inches
? ? ? ?

63. Fraction equivalence
and ordering
1 ? 3
— x — = —
7 ? 21
Build fractions from
unit fractions
6 2 ? ?
— = — + — + —
8 8 8 8
Number and Operations—Fractions
Decimal notation for
fractions
4 ?
— = —
10 100

64. A picture is worth a thousand words

65. Venus has a beautiful name and is the second planet from the
Sun. It’s terribly hot, even hotter than Mercury, and its
atmosphere is extremely poisonous. It’s the second-brightest
natural object in the night sky after our Moon
Use of fraction
x
—
y
Fraction bar
Numerator (can be any whole number)
Denominator (can be any whole number except
0)

66. Add the top numbers
and put them over the
same denominator
The last step, simplify
the fraction
(if needed)
If the denominator is
different, we need to
make them the same
Steps to add fraction
1 2 3
1 1
?
— + — = —
3 6
?
2 1
3
— + — = —
6 6
6
3 1
— = —
6 2

67. Despite being red, Mars is
actually a cold place. It’s
full of iron oxide dust
We remember some concepts
Venus
Venus has a beautiful
name and is the second
planet from the Sun
Mercury
It’s the closest planet to
the Sun and the smallest
one in the Solar System
Mars Saturn
Saturn was named after
the Roman god of wealth
and agriculture

68. Awesome
words

69. Triangle classification
Triangle
By their sides By their angles
Obtuse
A > 90º
Acute
A < 90º
Scalene
≠ 3 S
Equilateral
= 3 S
Isosceles
= 2 S
Right
A = 90º

70. Map
It’s the farthest planet
from the Sun
Despite being red, Mars
is a cold place
Saturn is a gas giant
and has several rings
Neptune
Mercury
Saturn

71. Geometry concepts
Jupiter is the biggest
planet of them all
Decimal
Symmetry
Saturn is composed of
hydrogen and helium
Angles
Mercury is the closest
planet to the Sun
Polygons
Venus is the second
planet from the Sun
Perimeter
Mars is actually a very
cold place
Area
Neptune is the farthest
planet from the Sun

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