AQA Paper 2 2020 June — Question 1 1 marks

Exam BoardAQA
ModulePaper 2 (Paper 2)
Year2020
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicExponential Functions
TypeSketch exponential graphs
DifficultyEasy -2.0 This is a 1-mark multiple choice question requiring only basic recall that exponential functions with positive bases are always increasing, and negating them makes them decreasing. Students need only recognize that -e^(anything with positive coefficient of x) is decreasing, making this significantly easier than average A-level questions.
Spec1.06a Exponential function: a^x and e^x graphs and properties1.07o Increasing/decreasing: functions using sign of dy/dx

Which one of these functions is decreasing for all real values of \(x\)? Circle your answer. \(f(x) = e^x\) \quad \(f(x) = -e^{1-x}\) \quad \(f(x) = -e^{x-1}\) \quad \(f(x) = -e^{-x}\) [1 mark]

Question 1:
AnswerMarks Guidance
1Circles correct answer 2.2a
f x
AnswerMarks Guidance
Total1
QMarking instructions AO
Question 1:
1 | Circles correct answer | 2.2a | B1 | ( )=−ex−1
f x
Total | 1
Q | Marking instructions | AO | Marks | Typical solution
Which one of these functions is decreasing for all real values of $x$?

Circle your answer.

$f(x) = e^x$ \quad $f(x) = -e^{1-x}$ \quad $f(x) = -e^{x-1}$ \quad $f(x) = -e^{-x}$

[1 mark]

\hfill \mbox{\textit{AQA Paper 2 2020 Q1 [1]}}