Log Graphs

Question 1

How can we tell if we are looking at the log graph of a linear disguised-exponential function?

Answer 1

Y-axis: log(y)
X-axis: x

Question 2

What does the equation of an exponential function look like when it is not in a linear disguise?

Answer 2

y = ab^x
Where a and b are both constants

Question 3

What does the equation of an exponential function look like when it is in a linear disguise?

Answer 3

log(y)=log(a) + xlog(b)
where log(a) is y-intercept and log(b) is gradient

Question 4

How can we tell if we are looking at the log graph of a linear disguised-algebraic function?

Answer 4

Y-axis: log(y)
X-axis: log(x)

Question 5

What does the equation of an algebraic function look like when it is not in a linear disguise?

Answer 5

y=ax^b
where a and b are constants

Question 6

What does the equation of an algebraic function look like when it is in a linear disguise?

Answer 6

log(y)=log(a) + blog(x)
where log(a) is y-intercept and b is gradient

Question 7

If an exponential function has a coefficient of x greater than 1…

Answer 7

we can still dress it up in a linear disguise like we normally do however the coefficient of x now becomes part of the gradient of the straight line.