For , on the left we have , and on the right,
(where we use the double angle identity: )
Suppose the relation holds for :
Then for , the left side is
So we want to show that
On the left side, we can combine the fractions:
Recall that
so that we can write
(another double angle identity: )
Then recall that
which lets us consolidate the numerator to get what we wanted:
and the identity is established.
The slope is a number that tells how steepness it is.
Meaning that the bigger slope it is, the more steepness it is.
We compare how steepness it is. Greater slope, greater steepness.
As plotted the graph of g(x) = -7x - 1
The g(x) does have more steepness than f(x).
Therefore, the answer is A.
Answer:
y=1/3 x2
Step-by-step explanation: