Math Test 3 Questions And Answers
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 (-∞,∞).