For the polynomial function ƒ(x) = x4 −25x2, find the zeros. then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.

ANSWER

The zeros are

EXPLANATION

Given;

.

We can rewrite the function as

The zeros are found by equating the function to zero.

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is

Or

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is

Or

This last root has a multiplicity of 2.

That is

repeats two times.

Since the multiplicity is even, the graph touches the x-axis at the point .

See graph.

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !