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For each graph below, select its possible equation from this list - OCR - GCSE Maths - Question 17 - 2018 - Paper 1

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Question 17

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For each graph below, select its possible equation from this list. (a) (b) (c)

Worked Solution & Example Answer:For each graph below, select its possible equation from this list - OCR - GCSE Maths - Question 17 - 2018 - Paper 1

Step 1

(a)

96%

114 rated

Answer

The graph in part (a) displays a hyperbolic shape, which indicates it corresponds to the equation of the form for a rational function. Thus, the possible equation is:

y=1xy = \frac{1}{x}

Step 2

(b)

99%

104 rated

Answer

The graph in part (b) illustrates a sinusoidal wave-like pattern, which corresponds to the sine function. Therefore, the possible equation is:

y=sin⁡xy = \sin x

Step 3

(c)

96%

101 rated

Answer

The graph in part (c) shows an exponential growth, which matches the behavior of an exponential function, specifically:

y=2xy = 2^x

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