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Test 3 Dual Enrollment Pre Cal Multiple Choice Questions and and answers.
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Test 3 Dual Enrollment Pre Cal MultipleChoice
According to the video what is the reason we have been studying one-to-one
functions so far in this section?
A. Because everyone-to-one function has an inverse function.
B. Because everyone-to-one function is apiece-wise defined function.
✅✅
C. Because everyone-to-one function has an infinite range.
D. Because everyone-to-one function has a finite domain. - -A. Because every
one-to-one function has an inverse function.
For a quadratic function f(x)=ax^2 + bx + c, what is not true about thedomain, the
range, and the intercepts of thefunction?
A. Thex-intercept(s) will be the real zeros of the function.
B. The domain will always be (-infinity, infinity).
✅✅
C. One endpoint of the range will always be theh-coordinate of the vertex.
D. The range will never be (-infinity, infinity). - -C. One endpoint of the range
will always be theh-coordinate of the vertex.
Given the graph of a quadratic function with the vertex and they-intercept clearly
identified, which of the following statements is not true?
A. The value of c in f(x)=ax^2 + bx + c can easily be determined because it
represents they-intercept of the graph.
B. The value of b in f(x)=ax^2 + bx + c can easily be determined from the shape of
the graph.
C. The values of h and k in f(x)=a(x-h)^2+ k can easily be determined because these
values represent the x and y coordinates of the vertex respectively.
D. The sign of the value of a in f(x)=ax^2 + bx + c,
✅✅
or equivalently f(x)=a(x-h)^2+ k,
can easily be determined from the shape of the graph. - -B. The value of b in
f(x)=ax^2 + bx + c can easily be determined from the shape of the graph.
If f and g are inverse functions of one another, then which of the following is not
necessarily true?
A. (f of g)(x)=x
B. (g of f)(x)=x
✅✅
C. If f(-a)=b, then g(b)=-a.
D. If f(1)=-b, then g(b)=-1. - -D. If f(1)=-b, then g(b)=-1.
, Theright-hand behavior of the graph of a polynomial function of the form
f(x)=anx^n........+a0can be determined by
A. the sign of the constant coefficient a0.
B. the degree n of the polynomial function.
✅✅
C. the sign of the leading coefficient an.
D. the number of terms in the polynomial function. - -C. the sign of the leading
coefficient an.
The shape of the graph of a polynomial function near the x-intercepts can be
determined by
A. examining whether thex-intercepts are even or odd.
B. examining the sign of the real zeros.
✅✅
C. examining whether thex-intercepts are positive or negative.
D. examining the multiplicity of the real zeros. - -D. examining the multiplicity of
the real zeros.
Which of the following is not true about the shape of a power function of the form
f(x)=ax^n?
A. If a is positive and n isodd, the graph approaches negative infinity on the left side
and positive infinity on the right side.
B. If a is positive and n iseven, the graph approaches positive infinity on the left side
and positive infinity on the right side.
✅✅
C. If n isodd, the shape of the graph resembles a parabola.
D. If n=1, the graph is a straight line. - -C. If n isodd, the shape of the graph
resembles a parabola.
Which of the following 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 the graph of a piecewise-defined function, it is sometimes possible to find a
rule that describes the graph.
✅✅
C. The domain of a piecewise-defined function can be (-infinity, infinity)
D. The range of a piecewise-defined function can be (-infinity, infinity) - -A. It is
possible for a piecewise defined function to have more than one y-intercept
depending on how the function is defined.
Which of the following statements about projectile motion is nottrue?
A. An object thrown or shot vertically into the air reaches a maximum height after t
seconds(when time is measured inseconds), where t is thek-coordinate of the
vertex of the parabola.
B. The acceleration of gravity on earth is approximately 9.8 meters per second per
second.
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