Given the input/output table for a function y = f(x), evaluate f(7)
x
7
2
5
6
f(x)
5
7
4
3
B.
Given the input/output table for a function y = f(x), solve f(x) = 7
x
7
2
5
6
f(x)
5
7
4
3
Question 1.
Is the following statement true or false, The relation {(9, 8), (3,2), (9,10), (5,3)} is a function ?
ANS:
Question 2.
Is the following statement true or false, The relation {(3,10) , (5,10),(7,10)} is a function ?
ANS:
Question 3.
Let f(x) = 3×2 – 5x +4. Evaluate f(2).?
ANS:
Question 4.
Let f(x) = 4x+7. Solve f(x) = 27
Question 5.
Which of these statements are correct? Please choose one and highlight in green.
The population p (in thousands) of fish in a lake t years after 1990 is given by the function p = f(t). What is the meaning of f (12) = 7?
In 12 years, there are 7 fish in the lake.
In 7 years, there are 12 fish in the lake.
In 1997 there are 12 fish in the lake
In 2002 there are 7 fish in the lake.
In 1997 there are 12,000 fish in the lake
In 2002 there are 7,000 fish in the lake.
Question 6.
A company manufactures headphones. The company’s profit in dollars , from manufacturing x headphones is given by the function :
P (x) =0. 02×2 + 35x – 10
What is the company’s profit if 500 headphones are manufactured? Answer:
What is the largest production level at which the profit will be zero? (Round to the nearest whole number.) Answer:
How many headphones should the company produce in order to maximize their profit? (Round to the nearest whole number.) Answer:
What is the maximum profit the company can make? (Round to one decimal place.) Answer :
(Please note do not type answers in the box)
Question 7 :
The equation 5×2 — 25 x – 1000= 500 has two solutions . what is the largest of the two solutions?
Question 8:
Let f (x) = 3×2 – 2.
What is the average rate of change of f( x) over the interval [ -3,2]
ANS:
Question 9 :
Let f (x) = 3×2 – 2.
What is average rate of change of f(x) over the interval [ 1,5]
Question 10:
What is average rate of change of f(x) over the interval [ – 2, 3]
Note: that question 10 comes with a graph that makes it easier to answer, but I was unable to upload it. Sorry for the trouble.
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