Respuesta :

Step-by-step explanation:

[tex]\longrightarrow\sf{ p(x) = 2{x}^{4} - 5{x}^{3} + 7x - 3}[/tex]

  • Now, substituting the value of x in equation, we get.

[tex]\longrightarrow\sf{ p(2) = 2({2})^{4} - 5{2}^{3} + 7\times 2 - 3}[/tex]

[tex]\longrightarrow\sf{ 2\times 16 - 5\times 8 + 14 - 3}[/tex]

[tex]\longrightarrow\sf{ 32 - 40 + 14 - 3}[/tex]

[tex]\longrightarrow\sf{ - 8 + 14 - 3}[/tex]

[tex]\longrightarrow\sf{ + 6 - 3}[/tex]

[tex]\longrightarrow\sf{ 3 }[/tex]

Answer:

Step-by-step explanation:

f(x) = 2x⁴ - 5x³ + 7x - 3

f(2) = 2(2^4) - 5(2^3) + 7(2) - 3

f(2) = 32 - 40 + 14 - 3

f(2) = 3

The graph below shows what happens when x = 2 and y = 2x⁴ - 5x³ + 7x - 3

Notice that the graph shows the same intersect point (2,3) as what we got when putting x = 2  into the equation.

Ver imagen jcherry99