Answer:
- Last option: {y|y is a real number}
Explanation:
The <em>range</em> of a real function is the set of the real numbers (values) that the function can return (the ouput of the function).
To figure out the range of a function, you first must figure out the domain.
The domain of the function is all real values, since the cube root function is defined for all the real numbers.
Since this function is continuous (which the translation of the function shows graphically), and the function is defined for all negative and positive values, the range of is all real numbers.
A vertical translation just slides the function vertically. Since the original function does not have either lower or upper bound, but the limits when x approaches ± ∞ are ± ∞, a translation will not modifiy the range.
Thus, <em>the range of the translated function</em> is (-∞, ∞).
That can also be written as <em>{y|y is a real number}</em>, which is read "y such that y is a real number", and is the last choice of the list.
12x - 56 = y. Hope it helps! :) If you could vote my answer as the brainiest, that would be awesome! :)
Answer:
Both graphs have a “y-intercept” at (0,0), so i believe the answer would be they don’t have y intercepts
Step-by-step explanation:
Answer:
I apologize is saying sorry and excuse me could mean do not make a big deal of it please.
Step-by-step explanation:
Answer: 14 pieces
Step-by-step explanation:
Let the number of pieces of paper she had at first be x.
Before starting she got seven more pieces to use. This can be written as:
= x + 7
When she was done she had 28 half pieces of paper. This can then be written as:
x + 7 = (28 × 1/2)
x + 7 = 14
x = 14 - 7
x = 7
Since x = 7, she started with:
= x + 7
= 7 + 7
= 14 pieces