Given the function, ƒ(x) = |x - 2| + 1, choose the correct range written using interval notation.
1 answer:
Answer:
[1,∞) Third one down.
Step-by-step explanation:
Comment
A couple of notes so you know what we are looking for.
- (a,b) means that neither a nor b are included in the interval.
- [a,b] means that both a and b are included in the interval/
- Range means the y value.
Graph
The graph shows that the interval of the range is from 1 to infinity. Infinity is never part of a domain or a range. The bracket after infinity must be ( or ) depending on where infinity is. Nothing is eliminated by that fact.
The low point is 1, not minus 1. So the first and second choice are both incorrect.
The graph never crosses the x axis. - infinity cannot be even a limit of the interval. That makes the second and the last one incorrect.
Only the third one down is left. [1, ∞) is left. It is correct. 1 is part of the interval. Infinity is not.
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Hello!
This question is about which values you are changing when you are transforming an equation.
Let's go through the parent function for an absolute value equation and its various transformations.
Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.
The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.
One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.
Now that we know this, let's write each expression.
a)
b)
c)
d)
Hope this helps!