RATED ANSWERS | GUARANTEED TO PASS
D The graph of which of the following basic functions is increasing on the interval (-∞,∞)?
A. f(x)=1/x
B. f(x)=|x|
C. f(x)=x^2
D. f(x)=∛x
A Identify the collection of three functions whose graphs are all symmetric about the origin.
A. y=1/x, y=x, and y∛x
B. y=x^3, y=3, and y=1/x
C. y=|x|, y=1/x, and y=x^3
D. y=x^3, y=x^2, and y=√x
,B Identify the collection of three functions that are all even.
A. y=x, y=x^2, and y=y=1/x, y=x, and y=√x
B. y=-3, y=x^2, and y=|x|
C. y=|x|, y=√x, and y=2
D. y=x^2, y=3, and y=1/x
D Which of the following basic functions is equivalent to the piece-wise-defined function
f(x){ x if x≥0
-x if x<0 ?
A. f(x)=1/x
B. f(x)=x^2
C. f(x)=x
, D. f(x)=|x|
A Which of the following statements is not true?
A. It is possible for a piecewise-defined function to have more than one y-intercept depending
on how the function is defined.
B. Given that the graph of piecewise-defined function, it is sometimes possible to find a rule
that describes the graph.
C. The range of a piecewise-defined function can be (-∞,∞).
D. The domain of a piecewise-defined function can be (-∞,∞).
C Given the graph of y=f(x), if c is a positive real number, then which of the following
statements best describes how to sketch the graph of y=f(x)+c?
A. The graph of y=f(x)+c can be obtained by horizontally shifting the graph of y=f(x) to the right
c units.
B. The graph of y=f(x)+c can be obtained by vertically shifting the graph of y=f(x) down c units.
C. The graph of y=f(x)+c can be obtained by vertically shifting the graph of y=f(x) up c units.