What a Function Really Is: Words, Tables, Formulae & Graphs (Grade 10)

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Grade 10 · Functions and Graphs

WORKSHEET

Name:

Class:

Date:

Mark

/ 22

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

1
Explain, in your own words, what makes a relationship a FUNCTION.
(2)
2
Write the rule “multiply by 3, then subtract 4” as a formula in function notation.
(2)
3
Determine the rule for the table x: 1, 2, 3, 4 → y: 5, 8, 11, 14.
(3)
4
If f(x) = 4x − 7, determine f(3).
(2)
5
If f(x) = x² + 2x, determine f(−3).
(2)
6
If f(x) = 5x + 1, determine the value of x for which f(x) = 26.
(2)
7
Write down the domain and the range of f(x) = x².
(2)
8
Explain why f(x) = x² is still a function even though f(−4) and f(4) are both 16.
(2)
9
State the vertical line test and say what it tells you.
(2)
10
A taxi charges R12 to get in plus R7 per kilometre. Write a formula for the cost C of a journey of k kilometres, and calculate the cost of a 15 km trip.
(3)

TOTAL: 22 marks