Section 9.3
#42 Let f(x)= 2x-3, g(x)=x^2+3x and h(x) x+3 over 2. Find the following
(g°h)(x)
#82 Write a formula for the perimeter of a square as a function of its area.
#84 Area of a sign. A sign is in the shape of a square with a semicircle of radius x adjoining one side and a semicircle of diameter x removed from the opposite side. If the sides of the square are length 2x, then write the area of the sign as a function of x
Section 9.1
#8 Linear and Constant functions. Graph each function and state its domain and range
F(x) = 4
#24 y = |2x - 3|
#66 Graphing relations. Graph each relation and state its domain and range
Y = x^2 - 2x - 3
#68 f(x) = -2x + 4
Section 9.4
#14 Inverse a fraction. Determine whether each function is invertible. If it is invertible then find the inverse
{(-1,1), (-3,81), (3,83)}
#16 {{3, -3), (-2,2), (1, -1)}
#26 Identifying inverse functions. Determine whether each pair of functions f and g are inverses of each other
F(x)=3x+7 and g(x) = x-7 over 3
#42 Switch and solve strategy. Find f^1 check that (f°f^-1)(x) and (f^-1°f)(x)=x
F(x) = 2 over x + 1
#46 f(x) = (1-x) / (x + 3)
#58 graphs of f and f^-1
F(x) = -3x + 2
Section 10.4
#12 Symmetry discuss the symmetry of the graph of each polynomial function
F(x)=x^4-x
#16 f(x) = x^6-x^4 + x^2-8
#22 f(x)=-3x
#28 Behavior at the x-intercepts. Find the x-intercepts and discuss the behavior of the graph of each polynomial function at is not x-intercepts
F(x)=x^4-1
#38 Match each polynomial with its graph
F(x)=-2x^2+4x+3
#40 f(x)=x^3-3x^2
#44 sketching graphs of polynomial functions
F(x)=-3x + 3
#48 f(x)=x^3-4x