Answer:
Graph (2).
Step-by-step explanation:
Given question is incomplete: Find the complete question in the attachment.
Given : f(x) = -
g(x) = - 1
To find : The graph showing f(x) = g(x)
If the given functions f(x) = g(x)
= 1
x = -2
That means both the functions have the same value at x = -2
f(-2) = g(-2) = -1
In other words, both the lines will intersect at a point (-2, -1).
From the given graphs,
Graph number (2) shows the required results.
A straight line g(x) = -1 parallel to x- axis and another straight line f(x) = , intersect each other at (-2, -1).
Therefore, Graph (2) will be the answer.
Answer:
We have the function g(x) = x^3 -15*x
First, to find extrema, we can find the zeros of the first derivative.
g'(x) = 3*x^2 -15
g'(x) = 0 = 3*x^2 - 15
x^2 = 15/3 = 5
x = √5
x = -√5
Now, watching at the second derivative we have:
g''(x) = 6*x
so when we have
g''(√5) = 6*√5 > 0 then x = √5 is a local minimum
g''(-√5) = -6*√5 < 0, then x = -√5 is a local maximum.
You get a parallelogram and possibly a hexagon. It all depends on the size of the diamond.
The answer is B. Because there is 2 multiples on 5 in 1-12; 5 and 10 so now you have 2/12 so simplify it to the lowest possible fraction. 1/6