Answer:
c = -4
Step-by-step explanation:
If f(x) = 2x^3 - x + c and f(2) = 10, plug in 2 for the x values in the function and make the function output 10.
10 = 2(2^3) - 2 + c Now, we only have to deal with one variable, that is c.
10 = 2(8) - 2 + c
10 = 16 - 2 + c
10 = 14 + c
-4 = c After simplifying, we get that c is -4.
To check this, plug in 2 for x, and -4 for c in the function. If the function produces 10 as the result, the halleluja!
f(2) = 2(2^3) - 2 - 4
f(2) = 2(8) - 2 - 4
f(2) = 16 - 2 - 4
f(2) = 10
[tex]\\ \tt\hookrightarrow 2x^3-x+c=10[/tex]
[tex]\\ \tt\hookrightarrow 2(2)^3-2+c=10[/tex]
[tex]\\ \tt\hookrightarrow 2(8)-2+c=10[/tex]
[tex]\\ \tt\hookrightarrow 16-2+c=10[/tex]
[tex]\\ \tt\hookrightarrow 14+c=10[/tex]
[tex]\\ \tt\hookrightarrow c=-4[/tex]
