Question

What are the characteristics of the function f(x) = 2(x-4)5?

O A. It is a reflection and a translation to the right of the parent
function.
O B. Both ends of the graph of the function go up.
I C. The left end of the graph of the function goes down, and the right
end goes up.
O D. It has 4 zeros and at most 5 relative maximums or minimums.
E. It has 5 zeros and at most 4 relative maximums or minimums.
OF. It is a vertical stretch and a translation to the right of the parent
function.

Answer 1

Explanation:

Answer: Options F, E, C.

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

Solution : We have given that f(x)=2(x - 4)^5.

By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.

Since , Option F is correct.

It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.

Option E is also correct.

By transformation rule it is vertical stretch and shift to right (B )

Therefore, Option F , E , C are characteristics of the function .