Answer:
Step-by-step explanation:
<u>Retrieved Information:</u>
Which statement is not true?
a)
b) Check the graph below
1) To bisect is to equally divide an angle or a line segment, into two equal parts. The bisector of AC divides the line segment AC in its midpoint, so AC≅CB, therefore AC=CB. In addition to this, this is equivalent to say that CB is = 1/2AB.
Finally, this is also true that AC+CB=AB.
2) Clearly AC is not equal to 2AB since AC=CB is = 1/2AB then it is false.
Answer:
The translation did not effect the domain
The translation effected the range
Step-by-step explanation:
The given graph represents f(x) = IxI
The domain of f(x) is {x : x ∈ R}, where R is the set of real numbers
The range of f(x) is {y : y ≥ 0}
The graph of g(x) is attached down
g(x) = IxI + 4
The domain of g(x) is {x : x ∈ R}, where R is the set of real numbers
The range of g(x) is {y : y ≥ 4}
The graph of g(x) is the image of the graph of f(x) after translate it 4 units up
∵ The translation is vertically
∴ The domain of f(x) = the domain of g(x)
∵ The domain of f(x) is {x : x ∈ R}
∴ The domain of g(x) is {x : x ∈ R}
∴ The translation did not effect the domain
∵ g(x) = f(x) + 4
∵ The range of f(x) is {y : y ≥ 0}
- Add 4 to the value 0
∴ The range of g(x) is {y : y ≥ 0 + 4}
∴ The range of g(x) is {y : y ≥ 4}
∴ The range of g(x) not equal the range of f(x)
∴ The translation effected the range
