Graph each polynomial function. f(x)=x^{4}-5x^{2}+6

Tobias Ali

Tobias Ali

Answered question

2021-02-11

Graph each polynomial function. f(x)=x45x2+6

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2021-02-12Added 91 answers

Step 1
To find the x-intercepts, solve f(x)=0
x45x2+6=0
(x23)(x22)=0 Factor the trinomial
x23=0 or x22=0 Set each factor equal to 0
x=±3 or x=±2 Solve each equation
So, the x-intercepts are (3,0),(2,0),(3,0),(2,0)
Step 2
To find the y-intercept evaluate f(0)
f(x)=x45x2+6
f(0)=045(0)2+6 Substitute 0 for x
=6 Simplify
So, the y-intercept is (0,6)
Plot the points (-2,2) and (2,2)
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