A student graphed function f(x) =( x+2)² - 5. How would the new function be written if it is translated 3 units to the right, sh
1 answer:
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Answer:
The domain of the function f(x) is:
The range of the function f(x) is:
Step-by-step explanation:
Given the function
Determining the domain:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
- Domain refers to all the possible sets of input values on the x-axis.
It is clear that the function has undefined points nor domain constraints.
Thus, the domain of the function f(x) is:
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
- Range refers to all the possible sets of output values on the y-axis.
We know that the range of an Absolute function is of the form
so
Thus, the range of the function f(x) is:
Answer:
15% markdown
Step-by-step explanation:
In order to find the markdown, take the lowered price and place it in a fraction as the numerator, and the initial price as the denominator. This looks like:
with this fraction, we're going to multiply it by 100, with an equation looking like this,
×
once we multiply(typically using a calculator, though manually is possible of course) we get 85.
In order to find the markdown price however, we need to subtract 85 from 100, getting 15. This is the markdown price, because it's the percentage of the initial whole that the price went down by. Can check by finding 15% of 975, which is 828.75