Everything Maths Grade 10

c)The y-intercept of 2 x+ 1is:

i. 3 ii. 1 iii. 2 iv. 0

d)Which of the following passes through(1; 7)?

i.y=^7 x ii.y= 2x+ 3 iii.y=^4 x iv.y=x^2 + 1

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1a.2G27 1b.2G28 1c.2G29 1d.2G2B 2a.2G2C 2b.2G2D

3a.2G2F 3b.2G2G 3c.2G2H 3d.2G2J

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6.8 Chapter summary EMA5K

See presentation:2G2Katwww.everythingmaths.co.za

• Characteristics of functions:
  
  
  • The givenx-value is known as the independent variable, because its value can be chosen freely. The
    calculatedy-value is known as the dependent variable, because its value depends on thex-value.
  
  
  • The domain of a function is the set of allx-values for which there exists at most oney-value according
    to that function. The range is the set of ally-values, which can be obtained using at least onex-value.
  
  
  • An asymptote is a straight line, which the graph of a function will approach, but never touch.
  
  
  
  


• Special functions and their properties:
  
  
  • Linear functions of the formy=ax+q.
  
  
  • Parabolic functions of the formy=ax^2 +q.
  
  
  • Hyperbolic functions of the formy=ax+q.
  
  
  • Exponential functions of the formy=abx+q.
  
  
  • Trigonometric functions of the formy=asin+q y=acos+q y=atan+q
  
  
  
  

End of chapter Exercise 6 – 8:

1.Complete the following tables and identify the function.

a)

x 2 3 4 6

y 3 6 12 15

b)

x 1 4 5 6

y  3  2  1 1 2

2.Plot the following points on a graph.

a)

x 1 2 3 4 5 6

y 1 2 3 4 5 6

214 6.8. Chapter summary