The graph of function g is a vertical stretch of the graph of function f by a factor of 3. Which equation describes function g
?
g(x)=f(x3)
g(x)=3f(x)
g(x)=13f(x)
g(x)=f(3x)
g(x)=f(x3)
g(x)=3f(x)
g(x)=13f(x)
g(x)=f(3x)
2 answers:
<h3><em>g(x)=3f(x) describes function G</em></h3>
<em>i just took the test i can confirm this is the answer </em>
Answer: The correct option is second, i.e., .
Explanation:
A functions g(x) is stretch or compressed of graph of function f(x) is defined by the equation,
Where, k is a constant and it shows the compress or stretch factor.
If k>0, then it is a stretch factor and the graph of f(x) is stretched by factor of k.
If k<0, then it is a compress factor and graph of f(x) is compressed by factor k.
Since the graph of g(x) is a vertical stretch of the graph of function f(x) by a factor of 3, therefore,
So, the option second is correct.
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Answer:
a)
b)
c) where
= number ties finished per unit time
d) t≅8.24min
e) K=109tie
J=91tie
f) K≅16.6min
J≅9.09min
Step-by-step explanation:
Data
Kara begins ten minutes before julie, so when julie joins kara she has 60 ties
t=10
a)
b)
c) where
= number ties finished per unit time
d) if kara already has 60 ties and makes 6 per minute and Julie makes 11 per minute then per minute they makes 17 ties, so one minute per 17 ties for 200 ties ¿how long?. ≅8.24min
e) K=60tie+6tie/min*8.24min=109tie
J=11tie/min*8.24min=91tie
f) K=100tie*min/6tie≅16.6min
J=100tie*min/11tie≅9.09min
Note: the amount of ties were rounded to the nearest decimal
(a) Predicate: 10d is an integer
The domain is . In fact, integers are closed under multiplication, and 10 is an integer. So, if d is an integer, 10d is a multiplication between integers, and thus an integer.
(c)
Since 1 and 4 are both squares, we have
And we deduce that x must be between 1 and 2. But since negative numbers become positive when squared, the numbers between -2 and -1 are also fine. So, the domain is
Predicates (b) and (d) are identical to (a) and (c)