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Math 1021 Test 3 RA
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 aone-to-one functionf, which of the following statements best
describes how to sketch the graph of f^-1?
a) Reflect the graph of f about the line y=x to obtain the graph of f^-1
b) First reflect the graph of f about thex-axis, and then reflect the graph about the
y-axis to obtain the graph of f^-1
c) Rotate the graph of f ninety degrees counterclockwise to obtain the graph of f^-1
✅✅
d) Reflect the graph about the vertical line x=a for any value of a such that a=f^-1(b) -
-a) Reflect the graph of f about the line y=x to obtain the graph of f^-1
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.
, Given the graph of y=f(x), if c is a positive realnumber, then which of the following
statements best describes how to sketch the graph of y=f(x)+c?
a) the graph of y=f(x) can be obtained by horizontally shifting the graph of y=f(x) to
the left c units.
b)the graph of y=f(x) can be obtained by horizontally shifting the graph of y=f(x) to
the right c units.
c)the graph of y=f(x) can be obtained by vertically shifting the graph of y=f(x) up c
units.
✅✅
d)the graph of y=f(x) can be obtained by vertically shifting the graph of y=f(x) down c
units. - -c)the graph of y=f(x) can be obtained by vertically shifting the graph of
y=f(x) up c units.
Given the graph of y=f(x), if c is a positive realnumber, then which of the following
statements best describes how to sketch the graph of y=f(x+c)?
a) The graph of y=f(x+c) can be obtained by horizontally shifting the graph of
y=f(x+c) to the left c units
b)The graph of y=f(x+c) can be obtained by vertically shifting the graph of y=f(x+c)
up c units
c)The graph of y=f(x+c) can be obtained by horizontally shifting the graph of y=f(x+c)
to the right c units
✅✅
d)The graph of y=f(x+c) can be obtained by vertically shifting the graph of y=f(x+c)
down c units - -a) The graph of y=f(x+c) can be obtained by horizontally shifting
the graph of y=f(x+c) to the left c units
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)
d) y= |x|, y=1/x, and y= x^3 - ✅✅-b) y=-3, y=x^2,and y=|x|
Identify the collection of three functions whose graphs are all symmetric about the
origin.
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