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Mathematics 2 ESO – Unit 9 FUNCTIONS Page 97 – Activity 53

1 –  Watch the video on “Domain and range of a relation ” and answer:

  • a) What is the domain?
  • b) What is the range?

2 –  For the function f(x) = x + 1

(Note: “f(x)” is how we call the variable “y” when we are speaking about functions).

  • a) Fill the table of values:
x f(x)
0  
1  
  • b) Draw the function.

3 – Draw these functions:

  • a) y = –3
  • b) y = 2x – 1
  • c) y = x
  • d) 6y = x
  • e) 2y = x + 1
  • f) 4y = (x/2) + 1

4 – Draw the following functions:

  • a) The slope is 2 and the y-intercept is y = 3
  • b) The slope is –3 and the y-intercept is y = –

5 – Draw the following functions:

  • a) The slope is −4 and passes through point (1,1)
  • b) The slope is 3 and passes through point (–1,–4)

6 –  Four kilograms of rice cost 3.2 €

  • a) Write the function for the cost per kilogram of rice.
  • b) Draw the function.

7 –  At the age of 12, a student is 1437 mm tall. At the age of 18 the same student is 1728 mm tall.

Draw the function (remember that the growth is constant).