How many x intercepts appear on the graph of this polynomial function? f(x)=x^4-5x^2

From the diagram you can see that the graph of function has three x-intercepts. If you need the coordinates of these points, then you should substitute y=0 and solve the received equation:

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First, factor this expression:

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This means that

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The x-intercepts are points

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3 x-intercepts.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

but which class are u may know that first