Here are four graphs - Edexcel - GCSE Maths - Question 17 - 2019 - Paper 3
Question 17
Here are four graphs.
The graphs represent four different types of function f.
Match each description of the function in the table to the letter of its graph.
Des... show full transcript
Worked Solution & Example Answer:Here are four graphs - Edexcel - GCSE Maths - Question 17 - 2019 - Paper 3
Step 1
1. f(x) is inversely proportional to x
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
This function typically exhibits a hyperbolic shape. Therefore, the correct graph is Graph B.
Step 2
2. f(x) is a trigonometrical function
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The graph associated with trigonometric functions like sine or cosine will oscillate. Hence, the correct graph is Graph A.
Step 3
3. f(x) is an exponential function
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Exponential functions grow rapidly. In this case, Graph D is the representation for this type.
Step 4
4. f(x) is directly proportional to √x
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
A function that is directly proportional to the square root will create a curve starting from the origin, making Graph C the appropriate match.
