Concept explainers
a.
To graph:
The given function using a graphing utility.
a.

Answer to Problem 108E
The graph of our given function would be:
Explanation of Solution
Given:
A function:
Calculation:
Upon graphing the given functionusing a graphing utility, we will get our required graph as shown below:
b.
To find:
The domain of the given function.
b.

Answer to Problem 108E
The domain of our given logarithmic function would be
Explanation of Solution
Given:
A function:
Calculation:
We know that logarithmic functions are not defined for negative values.To find domain of our given function, we will set argument of logarithmic function greater than0 as:
Therefore, the domain of our given logarithmic function would be or
c.
To find:
Open intervals on which the given function is increasing and decreasing using the graph of function.
c.

Answer to Problem 108E
The function is decreasing on interval and increasing on
Explanation of Solution
Given:
A function:
Calculation:
Upon looking at graph of our given function, we can see that the given function isdecreasing from 0 to 1 and increasing from 1 to positive infinity.
Therefore, the function is decreasing on interval and increasing on interval
d.
To approximate:
The
d.

Answer to Problem 108E
The relative minimum of the given function is
Explanation of Solution
Given:
A function:
Calculation:
We can see from our given graph that there is no maximum value for our given function.
We can see that the minimum value of our given function occurs at that is
Therefore, the relative minimum of the given function is
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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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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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





