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.
Answer:
<em>LCM</em><em> </em><em>of</em><em> </em><em>12</em><em> </em><em>and</em><em> </em><em>10</em><em>=</em><em> </em><em>60</em>
<em>hope</em><em> </em><em>this helps</em><em> </em><em><</em><em>3</em>
Answer:
2.1818
Step-by-step explanation:
Hope it helped!
Y = 180 - 51 -56 = 73
x = 180 - 73 - 72 = 35
x = 35 degrees
For the first digit you have 10 options (0..9).
For each next digit you can't choose the same digit, so you have 9 options.
So number of combinations is 10*9*9*9*9 = <span>65610</span>