Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
Answer:
Reflection across the x-axis: (-4,2)
Reflection across the y-axis: (4,-2)
Step-by-step explanation:
Going based off of what I see, a reflection across the x axis changes "y" & the same rule applies to the y axis.
It should be an L shape.
C is 2 because you have to move the 5 so you add 5 to 13 which is 18 then divide both sides by 9 so it's 2
Answer:
yes since it pass the vertical line test
Step-by-step explanation:
Answer:
Part A: B) 3
Part B: $40
4. -1
7. 5x + 6y
8. Part A: y = 20x
8. Part B: $300
9. e > 12000 pounds
Step-by-step explanation:
Part A: x = 5t + 5
20 = 5t +5
15 = 5t
t = 3
Part B: x = 5t + 5
x = 5(7) + 5
x = 35 +5
x = 40
4. 24 - 5^2
24 - (5*5)
24 - 25 = -1
7. 2x + 4y + 5 + 2y - 5 + 3x
2x + 3x = 5x
4y + 2y = 6y
5 + (-5) = 0
5x + 6y
8. Part A:
Total = y
Lawns = x
Amount = $20
so y = 20x
8. Part B:
y = 20x
y = 20(15)
y = 300
9. The elephant weighs more than 12000 pounds
Elephant = e
More than = >
Pounds = 12000
e > 12000 pounds