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Sketch a graph of f(x) =1
x+ 3
Find the domain of the function: F(x) =2x+ 3
Find the domain of the function f(x) = 6.
If f(x) = 2x +3 and g(x) = 3x– 2, find:
(a) (f
g)(x)
(b) (g
f)(x)
Suppose the yearly demand function for an artist’s paintings is p=25,000
q.
(a) If the current prices is $200.00 per painting, how many paintings are sold each year?
(b) If the artist wants to sell 4 paintings per year, what should the price be?
Sketch a graph of f(x) = |x+ 3|
Determine the x– and y–intercepts of the graph of y=x2– 3x– 10
x2+ 2x+ 1
Find: (a) the degree and (b) the leading coefficient of the polynomial function
P(x) = – x5 + 6x4– 9x2 + 7x + 3
Let f(t) =t2– 1, find (a) f(3t); (b) 3 ×f(t)
The speed you must travel for a given amount of time depends on the distance you must
cover.
(a) Write a function r(d) for the speed if the time is 5 hours and the distance covered is d.
(b) What is the domain of this function out of context?
(c) What is the domain of this function in the given context?
(d) Find r(x), rx
2 and rx
4,.
(e) What happens to the speed if the distance is reduced (divided) by a constant c?
Describe using an equation.
Suppose f(x) =xy2+ 3xy –y2. Find f(y).