Question

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises. f(−1) = f(1) = f(2) =

Answer 1

f( - 1) = 2 , f(1) = 6 , f(2) = 11

Correct question : Use the function f(x) = 2x³ - 3x² + 7 to complete the exercises. f( - 1) = , f(1) = , f(2) =

Given :

f(x) = 2x³ - 3x² + 7

To find :

The value of f( - 1) , f(1) , f(2)

Solution :

Step 1 of 2 :

Write down the given function

Here the given function is

f(x) = 2x³ - 3x² + 7

Step 2 of 2 :

Find the value of f( - 1) , f(1) , f(2)

Putting x = - 1 in f(x) we get

$\displaystyle \sf{ f( - 1) = 2 \times {( - 1)}^{3} - 3 {( - 1)}^{2} + 7 }$

$\displaystyle \sf{ \implies f( - 1) = - 2 - 3+ 7 }$

$\displaystyle \sf{ \implies f( - 1) = - 5+ 7 }$

$\displaystyle \sf{ \implies f( - 1) = 2}$

$\boxed{ \: \: \displaystyle \sf{ f( - 1) = 2} \: \: }$

Putting x = 1 in f(x) we get

$\displaystyle \sf{ f( 1) = 2 \times {( 1)}^{3} - 3 {( 1)}^{2} + 7 }$

$\displaystyle \sf{ \implies f( 1) = 2 - 3+ 7 }$

$\displaystyle \sf{ \implies f( 1) = - 1+ 7 }$

$\displaystyle \sf{ \implies f( 1) = 6}$

$\boxed{ \: \: \displaystyle \sf{ f(1) = 6} \: \: }$

Putting x = 2 in f(x) we get

$\displaystyle \sf{ f(2) = 2 \times {( 2)}^{3} - 3 {( 2)}^{2} + 7 }$

$\displaystyle \sf{ \implies f(2) = 16 - 12 + 7 }$

$\displaystyle \sf{ \implies f(2) = 4 + 7 }$

$\displaystyle \sf{ \implies f(2) = 11}$

$\boxed{ \: \: \displaystyle \sf{ f(2) = 11} \: \: }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ if polynomial p(t)=t⁴-t³+t²+6,then find p(-1)

https://brainly.in/question/3539645

2. Find the value of the polynomial 2x + 5 at x = – 3

https://brainly.in/question/50335429

#SPJ3