Linear And Quadratic Functions Worksheet With Answers Page 4

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64
CHAPTER 4. LINEAR AND QUADRATIC FUNCTIONS
2
4.3 D. Let f (x) = 4x
8x + 3. Find the x and y-intercepts, if any.
3
1
(a) (
, 0) (
, 0) (0, 3)
(d) (15, 0) (0, 3)
2
2
3
1
(b) (
, 0) (
, 0) (0, 3)
(e) None of these
2
2
(c) ( 1, 0) (0, 3)
4.3 #55. Find the equation of the quadratic function whose graph has vertex ( 3, 5) and
4.
y-intercept
2
2
(a) f (x) =
(x
3)
+ 5
(d) f (x) = (x + 3)
+ 5
2
(b) f (x) = (x
3)
13
(e) None of these
2
(c) f (x) =
(x + 3)
+ 5
2
4.3 #61. Find the minimum value of the function f (x) = 2x
+ 12x
3.
(a)
57
(d) 51
(b)
29
(e) None of these
(c)
21
2
4.3 #62. Find the minimum value of the quadratic function f (x) = 4x
8x + 3.
(a)
5
(d) 15
(b)
1
(e) 35
(c) 3
4.3 #81. Suppose that the manufacturer of a gas clothes dryer has found that when the
2
unit price is p dollars the revenue R (in dollars) is R(p) =
4p
+4000p. What is the largest
possible revenue? That is, find the maximum value of the revenue function.
(a)
$4000
(d)
$3,000,000
(b)
$1,000,000
(e) None of these
(c)
$500
4.3 E. A store selling calculators has found that, when the calculators are sold at a price
of p dollars per unit, the revenue R (in dollars) as a function of the price p is R(p) =
2
750p
+ 15000p. What is the largest possible revenue? That is, find the maximum value
of the revenue function.
(a) $10
(d) $75,000
(b) $100
(e) None of these
(c) $60,000

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