MAT-121: COLLEGE ALGEBRA
Written Assignment 3
2 points each except for 5, 6, 9, 15, 16, which are 4 points each as indicated.
For the following exercise, determine whether the relationship represents y as a function of x. If the relationship represents a function then write the relationship as a function of x using f as the function.
For the following exercise, determine whether the relationship represents a function.
For the following exercise, use the function f represented in table below. (4 points)
For the following exercise, evaluate the expressions, given functions f, g, and h:
f(x)=4x+2; g(x)=7-6x; h(x)=7×2-3x+6
For the following exercise, find the domain and range of each function and state it using interval notation.
For the following exercise, given each function f, evaluate f (3), f (-2), f (1), and f (0). (4 points)
For the following exercise, find the average rate of change of each function on the interval specified in simplest form.
For the following exercise, use the graph of each function to estimate the intervals on which the function is increasing or decreasing.
For the following exercise, find the average rate of change of each function on the interval specified.
For the following exercise, determine the domain for each function in interval notation. (4 points)
For the following exercise, use each set of functions to findg(f(h(x))). Simplify your answers. (4 points)
For the following exercise, use the function values for f and g shown in table below to evaluate each expression.
For the following exercise, use each pair of functions to findf(g(-1))andg(f(-1)).
Air is pumped into the balloon, so the volume after t seconds is given byV(t)=15+18t. Find the composite function r(V(t)) and use it to answer the following questions. Round the results to the nearest hundredth of a second.
For the following exercise, write a formula for the function obtained when the graph is shifted as described.
For the following exercise, describe how the graph of the function is a transformation of the graph of the original function f.
For the following exercise, determine the interval(s) on which the function is increasing and decreasing.
For the following exercise, sketch a graph of the function as a transformation of the graph of one of the toolkit (basic) functions. State the transformation in words.
For the following exercise, determine whether the function is odd, even, or neither.
For the following exercise, write a formula for the function f that results when the graph of a given toolkit function is transformed as described.
For the following exercise, find the x- and y-intercepts of the graph of the function.
For the following exercise, findf-1(x) for the function.
For the following exercise, find a domain on which the function f is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse of f restricted to that domain.
For the following exercises, use a graphing utility to determine whether each function is one-to-one.
For the following exercise, evaluate or solve, assuming that the function f is one-to-one.
For the following exercise, determine whether the equation of the curve can be written as a linear function.
For the following exercise, find the slope of the line that passes through the two given points.
For the following exercise, find a linear equation satisfying the conditions, if possible.
For the following exercise, determine whether the lines given by the equations below are parallel, perpendicular, or neither.
For the following exercise, find the x– and y-intercepts of the equation.
For the following exercise, use the description of each pair of lines given below to find the slopes of Line 1 and Line 2. Is each pair of lines parallel, perpendicular, or neither?
Line 2: Passes through (6, 3) and (12, 6)
For the following exercise, write an equation for the line described.
For the following exercise, find the slope of the lines graphed.
For the following exercise, sketch a line with the given features.
For the following exercise, sketch the graph of the equation.
For the following exercise, consider this scenario:
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