2. A function is defined by the formula = 12 5x g(x) (a) Evaluate without a calculator the value of + g(5) g(2) (b) If = 14, find g(k) k. 3. Two variables are connected by the relationship = + y ax b. Given that both and are negative, sketch a possible graph of against to a b y x illustrate this relationship. 4. Factorise (a) 9x2 16y2 (b) 3y2 2y 1 (c) 5ab + 6b2 (d) 1 16y2 a2 – – – – – 5. Solve the inequality (x 3)2 (x 5)2 < 0 – – – 6. Simplify expressing your answer with positive powers. = Write down the equation of the graphs shown below, which have the form 7. y kx2. 8. Write down the equation of the graphs shown below, which have the form = + y ax2 b. (a) (b) 9. Write down the equation of the graphs shown below, which have the form = (x + + y a)2 b. (a) (b)
2. A function is defined by the formula g(x) = 12 5x (a) Evaluate without a calculator the value of g(5) + g(2) (b) If g(k) = 14, find k. 3. Two variables are connected by the relationship y = ax + b. Given that both a and b are negative, sketch a possible graph of y against x to illustrate this relationship. 4. Factorise (a) 9x2 – 16y2 (b) 3y2 – 2y – 1 (c) a2 – 5ab + 6b2 (d) 1 – 16y2 5. Solve the inequality (x – 3)2 – (x – 5)2 < 0 6. Simplify expressing your answer with positive powers. 7. Write down the equation of the graphs shown below, which have the form y = kx2. 8. Write down the equation of the graphs shown below, which have the form y = ax2 + b. (a) (b) 9. Write down the equation of the graphs shown below, which have the form y = (x + a)2 + b. (a) (b)
ex_1-_15_complete_0.docx