## National 5 Functions Worksheet 1

All the questions on this sheet need you to use the same method, however they get harder as they go along because of the negatives and extra words.
No calculator allowed.
Q1
```Given a function f(x) = 4x + 10 a) Find f(3) b) If f(t) = 30, find t```

Q2
```Given a function f(x) = 2x + 8 a) Find f(4) b) If f(t) = 22, find t```

Q3
```The function f(x) is defined as f(x) = 7x - 1 a) Find f(8) b) If f(t) = 20, find t```

Q4
```If f(x) = 6 - 2x a) What is f(2) b) For what value of t does f(t) = 8```

Q5
```If f(x) = 12 - 3x a) What is the value of f(-2) b) Find p where f(p) = -3```

Q6
```The function g(x) is defined as g(x) = 7 + √x a) What is g(9) b) If g(t) = 12, find t```

Q7 (Tough)
```If f(x) = x2 + 4x + 4 a) Find f(-2) b) Find t so that f(t) = 0```

Q8 (Confusing)
```The distance in metres travelled by a cyclist travelling at a constant speed can be described by the function p(t) = 6t where t is the time in seconds a) How far will the cyclist travel in one minute? b) How many seconds will it take the cyclist to travel 3km?```