GIven the function f(x)=8x^2 + 5x - 6

Question

GIven the function f(x)=8x^2 + 5x - 6 Calculate the following exactly:

a. f(0) =

b. f(2) =

c. f(-2) =

d. f(pi) =

Now, find and simplify the following:

e. f(x + 1) =

f. f(-x) =

Answer 1

f(x) = 8x^2 + 5x -6

f(0) = -6

f(2) = 8(4)+5(2) -6 = 32+10-6 = 36

f(-2) = 8(4)+5(-2) - 6 = 32-10 -6 = 16

f(pi) = 8(pi)^2 + 5(pi) -6 = 8(pi)^2 +5pi -6 =pi(8pi+5)-6

= 88.66465182.... but that's not exact, "just' a very close approximation, even with the ,,, at the end

so f(pi) = exactly 8(pi)^2 +5pi -6,

f(x+1) = 8(x+1)^2 +5(x+1) -6 = 8x^2+16x+8+5x+5-6

= 8x^2+21x+7

f(-x) = 8x^2 -5x -6