ESAT (Engineering and Science Admissions Test) · Mathematics 2

Graphs of functions

4 practice questions, each with the answer and an explanation.

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What are the asymptotes of $y = \frac{2 x + 1}{x - 3}$ ?
How many points of intersection do the curve $y = x^{2} - 4 x + 5$ and the line $y = 2 x - 4$ have?
Which statement describes the graph of $y = (x - 1)^{2} (x + 2)$ at the $x$ -axis?
The point $(4, 6)$ lies on $y = f (x)$ . Which point must lie on $y = 2 f (\frac{x}{2})$ ?

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