lecture videos , 16, f(x) = (x2-1)? 18° f(x) = 3x -15, f(x) = (x-5)2 17. f(x)r F
ID: 3136312 • Letter: L
Question
lecture videos , 16, f(x) = (x2-1)? 18° f(x) = 3x -15, f(x) = (x-5)2 17. f(x)r Find the x-intercepts and discuss the behavior of the polynomial fiunction at its x-intercepts. 20. f(x)(x 1(+3p 22. f(x)x6 24, f(x) = x2-5x-6 19, f(x) = (x-4)2 .21. f(x) = (2x-1)3 23, f(x) = 4x-1 25. f(x) = x2-3x + 10 26. f(x) = x4-16 27, f(x) = x3-3x2 29, f(x) = 2x3-5x2 + 4x-1 30. f(x) = x3-3x2 +4 31. f(x)2r3 82 6x 36 32, f(x) =-x3 + 7x-6 For each function use the leading coefficient test to determine 28. f(x) = x3-x2-x + 1 whether y or y - as x 00, 33, y = 2x3-x2 + 9 35. y =-3x4 + 5 34, y =-3x + 7Explanation / Answer
21) f(x) = ( 2x -1)^3
finding x intercepts
( 2x -1)^3 = 0
2x -1 = 0
2x = 1
x = 1/2
x intercepts are ( 1/2 , 0 )
since the multiplicity of x intercept is 3 which is odd
so grpah crosses x axis at x = 1/2
graph starts from down and goes up
as x tends to - infinity , f(x) tends to - infinity
as x tends to + infinity , f(x) tends to + infinity
25)
f(x) = x^2 - 3x + 10
x^2 - 3x + 10 = 0
this equation has no real roots
hence, the graph will have no x intercepts
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