Answer:
A, B, E
Step-by-step explanation:
The attachment shows a graph of the function. It tends to infinity for x going to infinity in either direction. (A, B are true)
The right-side piece is cubic, not quadratic.
The U-shape tells you the function is decreasing on the left side.
The two function definitions have the same value at x=2, so the function has no discontinuities. It is continuous. (E is true)
Answer:
A) k(x)
Step-by-step explanation:
An inverse function does the opposite to the function.
For example, if the function was "+2" then the inverse would be "-2", or if the function was "×2" the inverse would be "÷2".
An <u>inverse function</u> is a <u>reflection of the function in the line y = x</u>
Therefore (x, y) → (y, x)
(-8, 2) → (2, -8)
(-4, 3) → (3, -4)
(0, 4) → (4, 0)
(4, 5) → (5, 4)
(8, 6) → (6, 8)
Therefore, the function k(x) could be an inverse of function g(x).
Answer:
After 2009 the quality of the forests in this country improving.
Step-by-step explanation:
Consider the provided function.
Substitute f'(t)=0.
It is given that (0 ≤ t ≤ 10)
The test interval are (0,5) and (5,10)
For (0 < t < 5) the value of
For (5 < t < 10) the value of
Hence, the function is increasing from (5,10).
t = 0 corresponds to 2004.
Therefore, after 2009 the quality of the forests in this country improving.