100 POINTS Drag the tiles to the correct boxes. Not all tiles will be used. Consider the exponential functions fg, and h, defined as shown.
function f
function g
function h
h
X
g(x)
0
4
Rx) = -2(3)+ + 6
-2
2
4
16
2
64
-2
3
256
Determine which function or functions have each key feature.
F(x) and g(x)
only f(x)
g(x) and h(x)
only 9)
and h
all three functions
only h(x)

Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. then, determine the values of a, h, and k in the general equation.

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

The table below shows the approximate height of an object x seconds after the object was dropped. the function h(x)= -16x^2 +100 models the data in the table. for which value of x would this model make it the least sense to use? a. -2.75 b. 0.25 c. 1.75 d. 2.25