
Concept explainers
a .
To find: is the given statement uses the word function in way that is mathematically correct.
a .

Answer to Problem 97E
Yes
Explanation of Solution
Given:
The statement, “The sales tax on a purchased item is a function of selling price”.
It is known that as the price of the item purchased increases, the amount paid as sales tax will also increase.
Hence, the use of word “function” is mathematically correct in this case.
b.
To find: is the given statement uses the word function in way that is mathematically correct.
b.

Answer to Problem 97E
No
Explanation of Solution
Given:
The statement, “The score on the next algebra exam is a function of the number of hours you study the night before the exam.”
The amount of time spent on studying does not necessarily determine your performance in the exams. There are lots of other factors on which your performance in exam depends upon.
Hence, the use of word “function” is not mathematically correct in this case.
Chapter 1 Solutions
Precalculus with Limits
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- In x For the function f(x) = find f'(x). Then find f''(0) and f''(9). 11x'arrow_forwardLet f(x) = √√x+3 and g(x) = 6x − 2. Find each of the following composite functions and state the domain: (a) fog (b) gof, (c) fof (d) gogarrow_forwardCompute the following: (a) 8x³ + 3x dx (b) cos(2u) du (c) f² ebx dxarrow_forward
- Find the following limits. (a) lim 3(x-1)² x→2 x (b) lim 0+x (c) lim 3x2-x+1 x²+3 x²+x-12 x-3 x-3arrow_forwardFor f(x) = (x+3)² - 2 sketch f(x), f(x), f(x − 2), and f(x) — 2. State the coordi- nates of the turning point in each graph.arrow_forwardFor f(x) = (x+3)² - 2 sketch f(x), f(x), f(x − 2), and f(x) — 2. State the coordi- nates of the turning point in each graph.arrow_forward
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