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Find the slope of the line that goes through the given points.
For the given functions f and g , find the indicated composition.
f(x) = – 4x + 2,g(x) =5x + 8
(g
f)(x)
A
Given functions f and g, perform the indicated operations.
f(x) =5x – 2,g(x) =6x + 3
Find fg.
Use the graph of the function f, plotted with a solid line, to sketch the graph of the given function g.
g(x) = – f(x) + 1
y = f(x)
Suppose a car rental company charges $88 for the first day and $38 for each additional or partial
day. Let S(x) represent the cost of renting a car for x days. Find the value of S(4.5).
Find the midpoint of the line segment whose end points are given.
D
Find an equation for the line with the given properties.
The solid line L contains the point (2, 5) and is parallel to the dotted line whose equation is y =2x.
Give the equation for the line L in slope–intercept form.
Use the given conditions to write an equation for the line in slope–intercept form.
Passing through (1, –8) and (–7, 8)
Find and simplify the difference quotient f(x +
h) – f(x)
h, h
0 for the given function.
Begin by graphing the standard quadratic function f(x) =x2 . Then use transformations of this graph to graph the given
function.
Begin by graphing the standard function f(x) =x3 Then use transformations of this graph to graph the given function.
Find the average rate of change of the function from x1 to x2.
f(x) = – 3x2– x from x1= 5 to x2= 6
C