Exponentials Flashcards
1
Q
What is the y-intercept of every exponential graph= of the form y = a^x? Why?
A
(0,1) because a^0 = 1
2
Q
What is the exponential graph’s relationship with the x -axis
A
It is all above the x-axis
The x-axis is an asymptote
3
Q
When is a graph exponentially growing and when is it exponentially decaying?
A
a > 1 for exponential growth
0 < a < 1 for exponential decay
4
Q
What is the gradient of e^x?
A
e^x
5
Q
What is the gradient of e^kx?
A
ke^kx
6
Q
What is the differential of e^x?
A
e^x
7
Q
What is the integral of e^x?
A
e^x + c
