There are three things you have to know:
- A function is convex when its second derivative
- A function is concave when it second derivative
- The derivative of a power,
, is 
So, the first derivative is
and the second derivative is
This implies that the second derivative of a parabola is constant, and of course that 2 doesn't change the sign of 
.
Area = length x width
the "big" rectangle: length = 15, width = 14
the blue rectangle is: length = 15 - 4, width = 14 - 6
Area of blue rectangle = (15 - 4)(14 - 6)
Answer: D
D, would the only one that is yes since the point of it is on 5 of the x axis
Answer:
Option A) The function is even because it is symmetric with respect to the y-axis.
Step-by-step explanation:
We are given a graph of the function.
We can see that the given function is symmetric around the y axis as the y axis acts as a mirror.
Symmetry around y-axis
- The y-axis acts as the line of symmetry for the given graph.
- A graph is said to be symmetric about the y axis if (a,b) is on the graph, then we can find the point (-a,b) on the graph as well.
Even Function:
- A function is said to be even if
- A function f is even if the graph of f is symmetric with respect to the y-axis
Odd function:
- A function is said to be odd if
- A function f is even if the graph of f is symmetric with respect to the x-axis.
Thus, we can write that the given function is an even function as the the graph is symmetric to the y-axis.
Option A) The function is even because it is symmetric with respect to the y-axis.
Answer:
C. $29.20
Step-by-step explanation:
The difference between using an electric stove and a gas stove everyday is 13 cents - 5 cents= 8 cents.
Saving 8 cents everyday.
Therefore for a year, Bryce will save 8 cents × 365days = 2920 cents
Then 2920 cents = $(2920÷100)
=$29.20
