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.
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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.
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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) → ∞
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<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.
Y = 2x-3
The second line will have its Y-Intercept at -3 and its slope will be up 2 and over 1 which will allow it to go through (4,5) and the line will be parallel to Y = 2x+2
Answer:
Step-by-step explanation:
Given that a survey was conducted that asked 1004 people how many books they had read in the past year.
Results are:
x bar =12.5
s = 16.6
n = 1004
Std error of sample = 
Since population std dev is not known t critical value can be used for confidence interval.
df = 1004-1 =1003
t critical = 1.96
Margin of error 
Confidence interval lower bound 
Upper bound
X=3y+4, y=y
x+y=180, 3y+4+y=180, 4y+4=180
4y+4=180
4y=176
y=44
x=3(44)+4, x=132+4, x=136
(I am not a very good artist in this case:)
The answer is D it shrinks to 35