Math Test 3
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
A- ✅✅-Suppose f(g(x))=x^2. Which of the following is not a possibility for f and g?
A. f(x)=x^2-2x-1 and g(x)=x+1
B. f(x)=√x and g(x)=x^4
C. f(x)=x^2+2x+1 and g(x)=x-1
D. f(x)=x^2 and g(x)=x
A- ✅✅ -When encountering a combination of several transformation, which of the
following represents the order suggested in the textbook?
A. (1) Horizontal shifts (2) Horizontal stretches/compression (3) Reflection about
y-axis (4) Vertical stretches/compression (5) reflection about x-axis (6) vertical shifts
B. (1) Vertical shifts (2) Horizontal stretches/compression (3) reflection about y-axis
(4) Vertical stretches/compression (5) Reflection about x-axis (6) Horizontal shifts
C. (1) Horizontal shifts (2) Vertical stretches/compression (3) reflection about x-axis
(4) Horizontal stretches.compression (5) Reflection about y-axis (6) Vertical shifts
D. (1) Reflection about x-axis (2) Reflection about y-axis(3) Horizontal
stretches/compression (4) Vertical stretches/compression (5) Horizontal shifts (6)
Vertical shifts
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 (-∞,∞).
✅✅
A.
A revenue function can never be defined as a function of the price p. - -Which
of the following statements is not true about the revenue businessmodel?
A.
A revenue function can never be defined as a function of the price p.
B.
Ideally, the graph of a simple revenue function should have a maximum value.
C.
The revenue function can be represented by Upper R left parenthesis x right
parenthesis equals xpR(x)=xp, where x is the quantity sold and p is the price.
D.
When the demand equation islinear, it can represented by p equals mx plus
bp=mx+b, where x is the quantity sold and p is the price.
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
B- ✅✅ -In an inequality such as (x+a)(x+b)(x+c)>0, which of the following is not a
reason why setting each factor greater than zero and solving for x does not produce
all of the solutions?
A. It is possible that (x+a)>0, (x+b)<0, and (x+c)<0.
B. It is possible that (x+a)<0, (x+b)<0, and (x+c)<0.
C. It is possible that (x+a)<0, (x+b)<0, and (x+c)>0.
D. It is possible that (x+a)<0, (x+b)>0, and (x+c)<0.
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