On the grid, sketch the curve with equation $y = 2^x$ - Edexcel - GCSE Maths - Question 15 - 2018 - Paper 2

To sketch the graph of the equation $y = 2^x$, we first note that this is an exponential function.

The graph will:

1. Start above the x-axis for negative values of $x$ and approach the y-axis, but it will never touch it.
2. Cross the y-axis at the point (0, 1) because $2^0 = 1$.
3. Increase rapidly for positive values of $x$, moving towards positive infinity. Thus, the graph will rise steeply to the right.

Next, we can identify the points of intersection:

• Point of intersection with the x-axis: The curve does not intersect the x-axis as it approaches but never touches it.
• Point of intersection with the y-axis: The coordinates are (0, 1).

Lastly, to represent this on the graph, ensure the curve demonstrates these characteristics and correctly labels the intersection point on the y-axis.