Middle School

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If [tex]f(n) = n^2 - 2n[/tex], which of the following options are correct?

Select all that apply:

A. [tex]f(2) = 0[/tex]

B. [tex]f(-2) = 0[/tex]

C. [tex]f(1) = 3[/tex]

D. [tex]f(5) = 35[/tex]

E. [tex]f(-4) = 24[/tex]

Answer :

Answer: A f(2)=0 I think

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Rewritten by : Barada

Answer:

f(2) = 0

f(-4) = 24

Step-by-step explanation:

[tex] \hookrightarrow \: { \tt{ \sf{f(n) = {n}^{2} - 2n }}}[/tex]

When n is 2 ✔

[tex] \dashrightarrow \: { \tt{f(2) = {(2)}^{2} - (2 \times 2) = 4 - 4 = 0}} \\ [/tex]

When n is -2 ✖

[tex] \dashrightarrow { \tt{ {( - 2)}^{2} - (2 \times - 2) = 4 + 4 = 8 }}[/tex]

When n is 1 ✖

[tex] \dashrightarrow{ \tt{f(1) = {(1)}^{2} - (2 \times 1) = - 1 }}[/tex]

When n is 5 ✖

[tex] \dashrightarrow{ \tt{f(5) = {(5)}^{2} - (2 \times 5) = 15}}[/tex]

When n is -4 ✔

[tex] \dashrightarrow{ \tt{f( - 4) = {( - 4)}^{2} - (2 \times - 4) }} \\ { \tt{ = 16 + 8}} \\ { \tt{ = 24}}[/tex]