Test 3 Dual Enrollment Pre Cal Multiple Choice Questions and and answers.

Test 3 Dual Enrollment Pre Cal Multiple
Choice

According to the video what is the reason we have been studying one-to-one
functions so far in this section?
A. Because every​one-to-one function has an inverse function.
B. Because every​one-to-one function is a​piece-wise defined function.

✅✅
C. Because every​one-to-one function has an infinite range.
D. Because every​one-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 the​domain, the​
range, and the intercepts of the​function?
A. The​x-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 the​h-coordinate of the vertex.
D. The range will never be (-infinity, infinity). - -C. One endpoint of the range
will always be the​h-coordinate of the vertex.

Given the graph of a quadratic function with the vertex and the​y-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 the​y-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.

, The​right-hand behavior of the graph of a polynomial function of the form
f(x)=anx^n........+a0​can 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 the​x-intercepts are even or odd.
B. examining the sign of the real zeros.

✅✅
C. examining whether the​x-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 is​odd, the graph approaches negative infinity on the left side
and positive infinity on the right side.
B. If a is positive and n is​even, the graph approaches positive infinity on the left side
and positive infinity on the right side.

✅✅
C. If n is​odd, the shape of the graph resembles a parabola.
D. If n=1, the graph is a straight line. - -C. If n is​odd, 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 not​true?
A. An object thrown or shot vertically into the air reaches a maximum height after t
seconds​(when time is measured in​seconds), where t is the​k-coordinate of the
vertex of the parabola.
B. The acceleration of gravity on earth is approximately 9.8 meters per second per
second.