Homework answers / question archive / Let f(x) = x2 − 4

Let f(x) = x2 − 4

Math

Share With

Let f(x) = x2 − 4. Let h(x) be a linear function such that h(−8) = 0 and h(3) = 11.
(a) Determine a formula for h(x).
(b) Calculate the values f (1), f (−1), f (2), f (−2), f (4), and f (−4). Explain why f (a) = f (−a) for any positive real number a.
(c) Graph y = f(x) and y = h(x) on the same grid.
(d) For what values of x is (i) f(x) ≤ 0? (ii) h(x) ≤ 0? (iii) f(x) ≤ h(x)? Give each of your answers as an
inequality/ inequalities.