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

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

Which point lies on a circle with a radius of 5 units and center at p(6, 1)?

Joanie watched 1 out of three of a movie in the morning