Question

If​ f(x) is defined as​ follows,

Answer 1

Answer:  The required values are

f(-2) = 120, f(0) = 64  and  f(1) = 84.

Step-by-step explanation:  We are given the following function f(x) :

$f(x)=16x^2+4x+64~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the values of the following :

$(a)~f(-2),\\\\(b)~f(0),\\\\(c)~f(1).$

To find the values of the function at the given points, we need to substitute the corresponding values of x in equation (i).

Substituting x = -2 in equation (i), we get

$f(-2)=16\times(-2)^2+4\times(-2)+64=64-8+64=120.$

Substituting x = 0 in equation (i), we get

$f(0)=16\times0^2+4\times0+64=0+0+64=64.$

Substituting x = 1 in equation (i), we get

$f(1)=16\times1^2+4\times1+64=16+4+64=84.$

Thus, the required values are

f(-2) = 120, f(0) = 64  and  f(1) = 84.