Introduction to Function Notation
A Grade 8 math worksheet introducing function notation, evaluating functions, and understanding input-output relationships.
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Introduction to Function Notation
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Read each question carefully and follow the instructions. Show your work where applicable. Good luck!
What is Function Notation?
Function notation is a way to write functions that clearly shows the input and output. Instead of writing 'y = 2x + 1', we can write 'f(x) = 2x + 1'. Here, 'f(x)' is read as 'f of x' and represents the output value of the function when the input is 'x'.
1. In the function notation f(x), 'x' represents the .
2. The expression f(x) represents the of the function.
3. The equation y = 3x - 5 can be written in function notation as .
Evaluate each function for the given value.
4. If f(x) = x + 7, find f(3).
5. If g(x) = 2x - 1, find g(-2).
6. If h(x) = x² + 4, find h(0).
7. For the function f(x) = 5x - 8, what is f(4)?
12
28
17
20
8. If k(x) = -3x + 10, which of the following is true?
k(1) = 7
k(0) = 3
k(2) = 16
k(-1) = 9
9. If f(x) = 4x - 5, and f(x) = 15, what is the value of x?
10. The cost to rent a bike for 'h' hours is given by C(h) = 7h + 3. If the total cost was $31, for how many hours was the bike rented?
11. Plot the points for the function f(x) = x + 2 for x values from -3 to 3 on the graph below.
12. Is the relationship shown in the graph above a function? Explain why or why not.