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Lesson details

Key learning points

  1. In this lesson, we will learn about the exponential function and how it relates to powers of n.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
If y = 2^n, what is the value of y when n = 5?
1
10
2
Correct answer: 32
Q2.
If y = 5^n, what is the value of y when n = -3?
-1/125
-125
Correct answer: 1/125
125
Q3.
You are given that 6^a < 220 < 6^b and that 'a' and 'b' are consecutive integers. What are the values of 'a' and 'b'?
a = 1, b = 4
a = 2, b = 3
Correct answer: a = 3, b = 4
a = 3, b = 7
Q4.
y = 9^x would cut the y-axis at the coordinate...
Correct answer: (0,1)
(1,0)
y = 1
y = 9
Q5.
y = 2x is an example of an exponential.
Correct answer: False
True

5 Questions

Q1.
Starting with 100 bacteria, how many would there be after 1 hour if the number of bacteria increases by 20% every 12 minutes?
120
Correct answer: 200
248
249
Q2.
Which of the following is the closest approximation to e?
2.7
2.7182
Correct answer: 2.71828
3.14
Q3.
If a bacterium increases by 1% in 2 minutes, would this form an exponential curve?
No
Correct answer: Yes
Q4.
What is the coordinate of intersection with the y-axis for y = e^x?
Correct answer: (0 ,1)
(0, 0)
(1,0)
y = 1
Q5.
If an investment doubled every 3 years, would the growth of the investment form an exponential curve?
No
Correct answer: Yes

Lesson appears in

UnitMaths / Growth and decay