When comparing functions, such as Seth’s scenarios for travelling to school, will the function with the greatest initial value c
2 answers:
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Answer:
Domain of f(x): All real numbers
Range of f(x): ---> [0, ∞)
The graph is over the interval (0, ∞)
Step-by-step explanation:
The function absolute value of x that is written: f(x) = | x | assigns only positive values to f(x) at any value of x.
For example, if for f(x) = | x | we make
f(-23) = | -23 | then the absolute value of x "transforms" the number -23 to +23.
Then f(-23) = | -23 | = 23
This means that f(x) will be positive for any value of x.
Therefore, we can conclude that:
Domain of f(x): All real numbers
Range of f(x): ---> [0, ∞)
The graph is over the interval (0, ∞)
Part A: Option e:
Option f:
Part B: Option c:
Option d:
Part C: Option a:
Option b:
Explanation:
Part A: The equation is
Simplifying, we have,
Taking the term 5 common out, we have,
Thus, the above two expressions are equivalent to the equation .
Hence, Option e and Option f are the correct answers.
Part B: The equation is
Taking the term 15 common out, we have,
Also, the equation can be rewritten as,
Thus, the above two expressions are equivalent to the equation
Hence, Option c and Option d are the correct answers.
Part C: The equation is
Multiplying, we have,
The above expression can be rewritten as,
Thus, the above two expressions are equivalent to the equation
Hence, Option a and Option b are the correct answers.