Which statements describe the function
A. It has 4 zeros and at most 3 relative maximums or minimums.
B. It has 3 zeros and at most 4 relative maximums or minimums.
C. It is a translation of the parent function 4 units to the right.
D. Both ends of the graph of the function go up.
E. It is a translation of the parent function 4 units to the left.
F. The left end of the graph of the function goes up, and the right end goes down.
Final Answer:
Step 1 :The function
Step 2 :The function has only one zero at x=4, because
Step 3 :The function has no relative maximums or minimums, because it is always increasing for x>4 and always decreasing for x<4.
Step 4 :Both ends of the graph of the function go up, because as x approaches positive or negative infinity, the value of the function also approaches positive infinity.
Step 5 :Therefore, the correct statements are C and D.
Step 6 :Final Answer: