MA16-05 Maths Coming soon
Exponential Graphs
MA16-05
This lesson is coming soon.
In this lesson
Recognise, sketch and interpret an exponential graph y=k^x, fixing every sketch through the required point (0,1).
What it covers
- Recognising and sketching the general shape of y=k^x for positive k (steadily rising curve, never touching the x-axis for large negative x)
- The fixed point (0,1) as the single mark-earning detail that separates a partial-credit sketch from a full-marks one
- Distinguishing the exponential curve from a quadratic curve, since candidates are documented choosing quadratic in place of exponential
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Cambridge IGCSE 0580
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | A12 | Recognise, sketch and interpret graphs of linear functions and quadratic functions |
| Edexcel GCSE 1MA1 | A12 | Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = 1/x with x ≠ 0 |
| Eduqas GCSE C300 | HA12 | Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = 1/x, with x ≠ 0, exponential functions y = kˣ for positive values of k, and the trigonometric functions (with arguments in degrees) y = sin x, y = cos x and y = tan x for angles of any size |
| OCR GCSE J560 | 7.01d | Recognise and sketch graphs of exponential functions in the form y = k^x for positive k. |
| Cambridge IGCSE 0580 | E2.10 | Graphs of functions |
| Cambridge IGCSE 0580 | E2.11 | Sketching curves |
For teachers
This GCSE Maths lesson teaches exponential graphs. By the end, students should be able to recognise, sketch and interpret an exponential graph y=k^x, fixing every sketch through the required point (0,1). It works through two worked examples and the mistakes examiners report.