9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
- vertical stretch by a factor of 'a'
- horizontal compression by a factor of 'b'
- translation right by 'c' units
- translation up by 'd' units
For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
__
Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
__
As with all exponential functions, ...
- the domain is "all real numbers"
- the range is all numbers above the asymptote: f(x) > 0
- the horizontal asymptote is f(x) = 0
The function is a growth function, so ...
- x → -∞, f(x) → 0
- x → ∞, f(x) → ∞
_____
<em>Additional comment</em>
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
the answer is F/0.15 and 100/15 F
BECAUSE
15%
F ⋅100%
= 0.15
F
⋅1
Answer:
XA = 9
AY = 9
XY = 18
Step-by-step explanation:
hope this helps!!
Answer:
Step-by-step explanation:
Answer: ![\$1.99](https://tex.z-dn.net/?f=%5C%241.99)
Step-by-step explanation:
The missing figure is attached.
For this exercise you need to analize the information provided.
You can observe in the picture attached that the cost of a package of wrapping paper is $3.76 and each bow costs $1.05.
Since Inez bought 1 package of wrapping paper and 4 bows, you get that the total amount of money she spent was:
![Total=\$3.76+4(\$1.05)\\\\Total=\$7.96](https://tex.z-dn.net/?f=Total%3D%5C%243.76%2B4%28%5C%241.05%29%5C%5C%5C%5CTotal%3D%5C%247.96)
According to the data given in the exercise, Inez wrapped 4 identical gifts. So, let be "x" the cost for wrapping each gift.
This is:
![x=\frac{\$7.96}{4}\\\\x=\$1.99](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5C%247.96%7D%7B4%7D%5C%5C%5C%5Cx%3D%5C%241.99)