Question 9 The equation of the asymptote of = 5 × 2x 1 + 4 is y – A = 2 x B = 0 y C = 4 y D = 1 x E = 5 y Question 10 If loga (x2) 4 = 2 loga 6, where a > 0 and x > 0, then – A x = a6 B x = 2 loga 6 + 4 C x = D x = E x = 6a2 Extended Answer Question 11 [10 marks] The following equation shows the temperature in degrees Celsius of of Robert’s cup coffee, minutes after pouring it out. t (t) =16 + 74 × 2.8−0.2t where is the temperature and is the time in minutes after F t pouring the coffee out. Find the initial temperature of the coffee. 1 mark b) Write down the equation of the horizontal asymptote. 1 mark c) Find the room temperature. 1 mark d) Find the temperature of the coffee after 10 minutes correct to the nearest degree.
Question 9 The equation of the asymptote of y = 5 × 2x – 1 + 4 is A x = 2 B y = 0 C y = 4 D x = 1 E y = 5 Question 10 If loga (x2) – 4 = 2 loga 6, where a > 0 and x > 0, then A x = a6 B x = 2 loga 6 + 4 C x = D x = E x = 6a2 Extended Answer Question 11 [10 marks] The following equation shows the temperature in degrees Celsius of Robert’s cup of coffee, t minutes after pouring it out. F (t) =16 + 74 × 2.8−0.2t where is the temperature and t is the time in minutes after pouring the coffee out. Find the initial temperature of the coffee. 1 mark b) Write down the equation of the horizontal asymptote. 1 mark c) Find the room temperature. 1 mark d) Find the temperature of the coffee after 10 minutes correct to the nearest degree.
Exponential-Log-Functions-Test-Paper-Two-2016.docx