Both are 117
1 and 117 are opposite so it's equal
2 is the same size
Answer: A
Step-by-step explanation:
Answer:
For #11 it is X≥-2. For #12 it is X<-1 I think
Step-by-step explanation:
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The transformation of a function may involve any change. The correct option is D.
<h3>How does the transformation of a function happen?</h3>
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
- Left shift by c units, y=f(x+c) (same output, but c units earlier)
- Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
- Up by d units: y = f(x) + d
- Down by d units: y = f(x) - d
Stretching:
- Vertical stretch by a factor k: y = k \times f(x)
- Horizontal stretch by a factor k: y = f(\dfrac{x}{k})
Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.
Learn more about Transforming functions:
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The average is found by adding the numbers and dividing by 2.
Since the average is 17, the total of the two numbers must equal 17 x 2 = 34.
One number is given as 11, so subtract 11 from 34:
34 - 11 = 23
The other number is 23.
Too check: add 11 and 23 and then divide by 2:
11 + 23 = 34
34/2 = 17.