Question

The polynomial function f(x) = 5x5 + 3x – 3 is graphed below.

Which statement best describes the root of f(x) at point P?
A)The root at point P may be 3/5.
B)The root at point P may be 1/5.
C)The root at point P may be 5/3.
D)The root at point P may be 1/3.

Answer 1

Its A!

The answer above is correct

Explanation:

I took the test

Answer 2

The roots of f(x) are the values for x at which f(x)=zero. The root of f(x) at point P is a bit redundant, since point P is the root of the function (and based on the graph, the only root).

We could plug zero in for f(x) to find the value of x at Point P, but based on the graph/options provided and the complexity of the function, it may be easier to just eyeball the graph to get the correct answer. We see that point P is between 1/2 and 1 on the x-axis.

Of the options provided, we want the value for x that satisfies: 1/2 < x < 1

a) 1/2 < 3/5 < 1 CORRECT ANSWER
b) 1/5 < 1/2 INCORRECT
c) 5/3 > 1 INCORRECT
d) 1/3 < 1/2 INCORRECT