Find the x- and y-intercepts of the cubic function f(x) = (x+4) (2x-1) (x-1)

Good morning ☕️

Step-by-step explanation:

f(0) = ((0)+4) (2(0)-1) ((0)-1)

     = (4)×(-1)×(-1)

     = 4

then the y-intercept = 4

f(x) = 0 ⇔ (x+4) (2x-1) (x-1) = 0 ⇔ x = -4 or x = 1/2 or x = 1

then the x-intercepts are -4 , 1/2 and 1

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol