Functions and graphs

Worksheet: Functions and graphs

Name:Class:

Answer the questions.

1. A function is f(x) = 3x + 2. What is the output when the input is 4?
   a) 11b) 12c) 14d) 24
2. A function machine doubles the input, then subtracts 5. Input 9 gives which output?
   a) 13b) 18c) 4d) 8
3. For f(x) = x² − 1, what is f(5)?
4. A function machine adds 3 and outputs 10. What was the input?
   a) 13b) 3c) 30d) 7
5. What is the gradient of the line y = 5x − 2?
   a) -2b) -5c) 2d) 5
6. What is the y-intercept of the line y = 2x + 7?
   a) -7b) 2c) 7d) 9
7. Where does the line y = −3x + 4 cross the y-axis? Give the y-value.
8. The lines y = 2x + 1 and y = 2x − 5 are parallel.
   a) Trueb) False
9. Which line is parallel to y = 4x + 3?
   a) y = 3x + 4b) y = 4x − 1c) y = x + 3d) y = −4x + 3
10. The lines y = 3x + 2 and y = 2x + 3 are parallel.
    a) Trueb) False
11. What is the shape of the graph of y = x²?
    a) A U-shaped curve (parabola)b) A V-shaped pair of linesc) A circled) A straight line
12. The graph of y = −x² opens in which direction?
    a) Downwardsb) To the leftc) To the rightd) Upwards
13. The graph of a quadratic function such as y = x² + 2x is a straight line.
    a) Trueb) False
14. On a distance-time graph, what does a horizontal line show?
    a) Constant speedb) Returning to the startc) Speeding upd) The object is not moving
15. A distance-time graph goes from (0 h, 0 km) to (2 h, 30 km) in a straight line. Speed?
    a) 15 km/hb) 2 km/hc) 30 km/hd) 60 km/h
16. On a distance-time graph, a steeper straight line means a greater what?