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Math 1021 Test 3 RA Questions and and answers (1).
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Math 1021 Test 3 RAWhich of the following statements is true about the quadratic function
f(x)=ax^2+bx+c?
a) The constants a,b, and c must be real numbers with a not ever equal to zero.
b)The constants a,b,and c must be real numbers with a always positive.
c)The constants a,b, and c cannot ever be fractions.
d)The constant c determines whether the graph opens up or down. - ✅✅-a) The
constants a,b, and c must be real numbers with a not ever equal to zero.
Which of the following statements is not true about the characteristics of the graph of
f(x)=ax^2+bx+c?
a) The axis of symmetry has the form x=h where h is thex-coordinate of the vertex.
b) The graph of f(x)=ax^2+bx+c can have either nox-intercepts or twox-intercepts
but never just onex-intercept.
c) The graph of f(x)=ax^2+bx+c can never have more than oney-intercept.
✅✅
d) Since the vertex form of the quadratic function is f(x)=ax^2+bx+c
the vertex is always found at the point (h,k) - -b) The graph of f(x)=ax^2+bx+c
can have either nox-intercepts or twox-intercepts but never just onex-intercept.
For a quadratic function f(x)=ax^2+bx+c what is not true about thedomain, the
range, and the intercepts of thefunction?
a) One endpoint of the range will always be the value of c.
b) The range will never be (-∞,∞)
c) The domain will always be (-∞,∞)
d)Thex-intercept(s) will be the real zeros of the function. - ✅✅-a) One endpoint of
the range will always be the value of c.
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 an easily be determined because it represents
they-intercept of the graph.
b) 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.
c)The value of b in f(x)=ax^2+bx+can easily be determined from the shape of the
graph.
✅✅
d) 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. - -c)The
value of b in f(x)=ax^2+bx+can easily be determined from the shape of the graph.
The graph of which of the following basic functions is increasing on the interval
(-∞,∞)?
a) f(x)=x^2
b) f(x)= |x|
c) f(x)= 1/x
d) f(x)= x^1/3 (cube root of x) - ✅✅-d) f(x)= x^1/3 (cube root of x)
Identify the collection of three functions whose graphs are all symmetric about the
origin.
a) y=x^2, y=3, and y=1/x
b) y=x^3, y=x^2, and y= x^1/2 (square root of x)
c) y= |x|, y=1/x, and y= x^3
d) y=1/x, y=x, and y=x^1/3 (cube root of x) - ✅✅-d) y=1/x, y=x, and y=x^1/3 (cube
root of x)
Identify the collection of three functions that are all even.
a) y=x^2, y=3, and y=1/x
b) y=-3, y=x^2,and y=|x|
c)y=x, y=x^2, and y= x^1/2 (square root of x)
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