The polynomial function is f(x) = x3 + 4x2 + 3x. Use it to complete each statement. f(x) is on the intervals (–∞, –3) and (–1, 0).
f(x) is on the intervals (–∞, –2) and (–0.5, ∞).
f(x) is on the intervals (–3, –1) and (0, ∞).
f(x) is on the interval (–2, –0.5).

Options: Negative, Decreasing, Increasing, Positive

a

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

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