So is the function, f(x)= 2x²- 3x + 4 linear or nonlinear? Find f(-3) and f(3) for this function.
I have the answer
f(x)= 2(3)²- 3(3) + 4 =29
and f(x)= 2x²- 3x + 4 =49
I hapo this is correct and this is non linear?
nonlinear,
f(3)=2*3^2-3*3+4=18-9+4
f(-3)=2*(-3)^2-3*(-3)+4=18+9+4
No, the function f(x) = 2x² - 3x + 4 is not linear. It is a quadratic function because it contains a squared term (x²).
To find f(-3), you substitute -3 for x in the function:
f(-3) = 2(-3)² - 3(-3) + 4
Simplifying this expression gives:
f(-3) = 2(9) + 9 + 4
f(-3) = 18 + 9 + 4
f(-3) = 31
To find f(3), you substitute 3 for x in the function:
f(3) = 2(3)² - 3(3) + 4
Simplifying this expression gives:
f(3) = 2(9) - 9 + 4
f(3) = 18 - 9 + 4
f(3) = 13
So, f(-3) equals 31 and f(3) equals 13.
Correct, the function is non-linear because it contains a squared term.