Search
using visuals/diagrams, compare and contrast linear and exponential functions. In your discussion, consider using the following talking points: first differences, linear, exponential, equation, graph, f(x)=x, f(x)=2^x.
We have seen various exponent laws for powers with the same base. CREATE and SOLVE a problem that says to 'SIMPLIFY' and that:
a) includes multiplying powers with the same base.
b) includes dividing powers with the same base .
c) includes a power of a power.
d) includes an negative exponent.
e) includes an exponent of 0.
f) includes a rational exponent.
g) combines three of the above exponent laws.
What is the difference between exponential growth and exponential decay? Discuss the difference in their b-values.
What is the domain and range of the exponential function f(x) = (1/2)^x
What is the domain and range of the exponential function f(x) = 2^x
What is the general form for an exponential function?
What is an exponential function?
The left and right page numbers of an open book are two consecutive integers whose sum is 209. Find these page numbers.
The time, T, taken for a journey of a fixed distance is inversely proportional to the average speed S.
When S = S1, T = T1
On another journey, the speed S1 is increased by 40%
Work out the time taken for this journey.
Give your answer as a fraction of T1
Ticket sales for a concert go online on a website at 9 am.
There are 2400 tickets for sale.
The number of tickets sold is directly proportional to the number of seconds after 9 am.
When Julia logs on 550 tickets have been sold.
The tickets are sold out at 9.08 am
Work out the time that Julia logged on to the website.
