1. If you knew that (−4) = 8, then what (, ) coordinate point must lie on the graph of = ()? Explain your thinking.
2. Given the function f defined by the formula () = 2 + 1 evaluate the following.
(a) (4) (b) (−5) (c) ( − 7)
3. Given the function defined by the formula () =
−5
2
evaluate the following.
(a) (9) (b) (0) (c) (6 + 5)
4. Given the function ℎ defined by the formula ℎ() =
2 − 10 evaluate the following.
(a) ℎ(0) (b) ℎ(−4) (c) ℎ( + 3)
5. If () =
3−4
11
, determine the input for which () = 1. Show your work.
6. Evaluate each function for the indicated value or expression.
(a) ℎ() = | + 2| + 3
Find ℎ(−6).
(b) () = 3
5−2
Find (1).
(c) () =
2 − 3
Find (−8).
(d) () = + 7
Find (2 − 1).
(e) () = 4 − 5
Find ( − 2).
(f) () = 3
Find (2).
7. Given () =
2
, evaluate each of the following. Simplify completely.
(a) (9) (b) 2 ∙ (100) (c) (2)
(d) () − 3 (e) ( − 3) (f) ( − 3) − 3
(g) 2 ∙ ( + 4) (h) (5 − ) − 25 (i) −2 ∙ () + 3