Answer:
f(-x) = -4x^3 + 9x, f(x) is an odd function
Step-by-step explanation:
We are given that f(x) = 4x^3 - 9x. In order to solve this problem, we first need to understand what an odd function is and what an even function is. When we have an odd function, f(-x) = -f(x). Meaning, that if we plug -x in for x, we should get -f(x). On the other hand, with an even function, f(-x) = f(x). Even if you change the sign, when you simplify, you will get back the same function. In either case, we have to first find f(-x) to figure this problem out:
We can see from our answer for f(-x) that it is equal to -f(x). We can verify this below:
Since f(-x) = -f(x), our function f(x) is an odd function
Answer:
B
Step-by-step explanation:
In this case the method of there being two of the same x values it is NOT a function. Because then there will be two points on top of each other resulting in it not passing the vertical line test on a graph.
Answer:
r=4.5 I hope this helped!
Step-by-step explanation:
First, we must find angle c:
180 - (73 + 42) = 65 degrees
Then, we use the question fro, the law of sine, which is:
angle A/ side A = angle B/ side B = angle C/ side C
The side this is opposite to the angle, it's the angle that we use. So, opposite to angle C is 28.7 . We have the equation:
65°/28.7 = 73°/a
Cross multiply and divide, and we get a = 32.2