Advanced functions - transformations.
Test Yourself 1.
On this page, questions relate to Exponential, Logarithmic and Trigonometric functions.
Exponential. | 1. A function is defined as f(x) = 2x + 1.
(i) Sketch this function. (ii) Sketch the function g(x) = f(-x). |
(iii) Sketch the function when the original function is reflected about the x axis - so h(x) = -f(x).
(iv) Sketch the function k(x) = -f(-x). |
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Logarithmic. | 6. The function y = ln x is transformed by:
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7. (i) Sketch the function f(x) = ln (x) +1. Sketch the graphs resulting from applying each of the following transformations to f(x). Also write a short statement describing what has changed from the original graph.
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Trigonometric. | 11. | |
15. |