Download For problems 1-3 use the quadratic function 1. Find the vertex. a) (!5

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Transcript
For problems 1-3 use the quadratic function
1.
Find the vertex.
a) (!5, !5)
2.
The interval over which
a) (5, 4)
3.
4.
b) ( 5, !5 )
c) ( 5, 30 )
d) (!5, !30)
c) (!4,!15)
d) (!4, 5)
is increasing.
b) (!4, 4)
Which of the following is true about this function?
a) Has a minimum value of
at
b) Has a maximum value of
c) Has a maximum value of
at
d) Has no maximum nor a minimum value.
Consider the parabola,
at
where a < 0, Then which statement is not true.
a) The parabola opens downward and passes through point
b) The parabola opens upward and passes through point
.
.
c) The parabola opens downward and does not pass through the origin.
d) The parabola opens downward and passes through the origin.
5.
Find the equation of a quadratic function with vertex at (!5,8) and passing through point
a)
b)
c)
d)
For problems 9 - 14 , use the polynomial
6.
Which of the following graph is that of this polynomial?
.
.
2
10.
The degree of this polynomial is
a) 3
11.
b) 21
b) at least 4
b) exactly 4
16.
d) at most 6
b)
c)
d) no negative zero
b) Falls to the left
Rises to the right
c) Rises to the left
Rises to the right
d) Rises to the left
Falls to the right
Which one is not a property of graphs of polynomial functions?
a) It has sharp turns.
b) It is continuous for all real numbers.
c) It has at most n real zeros.
d) It has at most n –1 turning points.
The graphs of a function and its inverse are symmetrical through:
a) x = 1
17.
c) at least 5
The right-hand and the left-hand behavior of the graph of the polynomial is
a) Falls to the left,
Fall to the right
15.
d) no real zeros
One negative zero of this polynomial is exactly
a)
14.
c) exactly 4
The number of complex zeros of this polynomial is
a) exactly 2
13.
d) 6
The number of real zeros of this polynomial is
a) exactly 6
12.
c) 5
b) x = 0
c) y = 1
d) y = x
A manufacturer of lighting fixtures has daily production costs of
,
where
is the total cost in dollars of producing units . How many fixture should be produced each
day to yield a minimum cost?
a) 200
b) 400
c) 800
d) 20
For questions 21 - 25 use the function
21.
The vertical asymptote(s) is (are):
a)
b)
c) x = 3
d)
and
3
22.
The domain of this function is:
a)
23.
d) none
b)
c) ( 3, 0 )
d)
b)
c)
d)
The x - intercept is:
a)
25.
c)
The y-intercept of the above function is:
a) ( 0, ! 2 )
24.
b)
Sketch the graph of