AP PRECALC Practice Question 1: Function Concepts

Practice Question 1: Function Concepts x 3 9 27 81 f ( x ) O 4 8 12 16 1 . Selected values of a function f are given in the table above. It is known that f is an increasing function defined for x > 0. The function g is given by g(x) _ *-5x+8 3 -x (A) (i) The function h is defined by h(x) = g(f(x)). Find the value of h(3) as a decimal approximation or indicate that it is not defined. (ii) Find the value of f-1(12) or state that it is not defined. lov (B) (i) Find all values of x, as decimal approximations, for which g(x) = 4, or indicate that there are no such values. tolugmes art world .noitomixonago lomjob p zo (ii) Determine the end behavior of g as x increases without bound. Use limit notation in your answer. ( bouol agrabs to stor approve ent call cano Wor of ebp (C) (i) Use the table of values for f to determine if f is best modeled by a linear, quadratic, cubic, exponential, or logarithmic function. 0 = 1 moswied ) to Boulay 161 1 smile stupe or o sororb to sfor ogniovo ent gnlou boren (ii) Give a reason for your answer based on the relationship between the change in the output values of f and the change in the input values of f