Shirley is asked to sketch a graph of $y = 5^{x}$ for $x
eq 0$ - OCR - GCSE Maths - Question 14 - 2019 - Paper 5
Question 14
Shirley is asked to sketch a graph of $y = 5^{x}$ for $x
eq 0$.
She produces the following.
The graph has two errors.
How should they be corrected?
Worked Solution & Example Answer:Shirley is asked to sketch a graph of $y = 5^{x}$ for $x
eq 0$ - OCR - GCSE Maths - Question 14 - 2019 - Paper 5
Step 1
1. Correct the Y-Axis Scale
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Answer
The graph currently shows an incorrect vertical scale. The graph should represent exponential growth, which means as x increases, y should increase very rapidly. A proper scale is needed to show that for x=0, y=50=1, and as x increases, y should grow larger, not remain at a fixed point.
Step 2
2. Adjust the Curve Shape
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Answer
The curve should be drawn with an initial point at (0,1) and rising rapidly towards the right. The shape of the graph should indicate that it approaches the x-axis (y=0) for x values approaching negative infinity and rises sharply for positive x values.
