Answer:
I think it's D cause it says less than 3 and all possible ways, so that's the only one that makes sense to me.
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
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Actually Welcome to the Concept of the straight lines.
y-y1 = m(x-x1) + C
====> y - 1 = 3(x - 2)
====> y-1 = 3x -6
====> y = 3x - 5
hence the equation is y = 3x - 5
4=4 6=5 7=9 8=4 9=2 10=8 11=3 12=9
Answer:
<4 and <3
Step-by-step explanation:
The remote interior angles are the two angles that are inside the triangle and away from the angle adjacent to the exterior angle.
5 is adjacent to 1
so 3 and 4 are the remote interior angles