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.
Answer: " y = (-3/5)x − 4 " .
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Find and review the slope formula.
The slope of a line segment that connects the points (a, b) and (c, d) is
d-b
m = --------------
c-a
Write out this formula for a=-3, b=-4, c=6 and d=-1.
Answer:
biotbhuvb2tupbpu2
Step-by-step explanation:
Answer: 17.5 gallons
Step-by-step explanation:
The formula to solve this question will be: g = d/m
where, g = number of gallons of gasoline used
d = distance travelled = 315 miles
m = miles per gallon = 18 miles/gallon
Therefore, the number of gallons of gasoline that Darnell will need to travel 315 miles will be:
g = d/m
g = 315/18
= 17.5 gallons