The answers will be:
- (4, 5)
- remain constant and increase
- g(x) exceeds the value of f(x)
<h3>What is Slope and curve?</h3>
a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).
b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).
c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:
f(8) = 4·8 +3 = 35
g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35
g(8) > f(8)
d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).
To know more about Slope follow
brainly.com/question/3493733
Answer: I helped LOL
Step-by-step explanation:
Answer:
1) Dilation
2) enlarge or shrink
Step-by-step explanation:
1) The shape stays the same, but the area and size change based upon the scale factor (k)
2) Dilation can shrink or enlarge something based upon a scale factor
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From Least to greatest, is...
73/100, 2/5, 1/10
Answer:
length of a single chain link = 5.33 cm
Step-by-step explanation:
Given data: chain contained 1000 chain links
total length was 0.0533km
<em>1km = 1000m </em>
<em> 1m = 100cm therefore 1km = 100000cm</em>
<em />
total length in cm = 0.0533* 100000
total length in cm = 5330 cm
length of a single chain link = 5330/1000
length of a single chain link = 5.33 cm
