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belka [17]
2 years ago
6

The function after synthetic division f(x) = 4x3 + 3x2 − 16x − 12

Mathematics
1 answer:
Georgia [21]2 years ago
8 0

Answer:

\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}

»ANSWER«

(1) Write properties of function:

x intercept/zero:

x_{1} =  \frac{3}{4}

y intercept:

y =  - 12

domain:

( -  \infty  \:  \infty )

type of function: cubic fraction

standard form:

f(x) = 4 {x}^{3}  - 3 {x}^{2}  + 16x - 12

factorize form:

f(x) = (4x - 3)( {x}^{2}  + 4)

even/odd/neither: neither

bounce/cross x axis:

x =  \frac{3}{4}  \: across

increasing interval:

( -  \infty  \:  \infty )

decreasing interval: no

number of positive real zeros: 1

number of possible turning point: 2

order/degree: 3

leading term:

4x ^{3}

leading coefficent: 4

constant term: -12

end behavior:

as \: x \: → \infty f(x) → \infty \:  as \: x → -  \infty f(x) → -  \infty

#CarryOnLearning

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