Exercise 1:
exponential decay:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 600
We look for b:
(480/600) * (100) = 80%
b = 0.8
Substituting:
y = 600 * (0.8) ^ ((1/3) * t)
We check for t = 6
y = 600 * (0.8) ^ ((1/3) * 6)
y = 384
Answer:
exponential decay:
y = 600 * (0.8) ^ ((1/3) * t)
Exercise 2:
linear:
The function is given by:
y = ax + b
Where,
a = -60 / 2 = -30
b = 400
Substituting we have:
y = -30 * x + 400
We check for x = 4
y = -30 * 4 + 400
y = 280
Answer:
linear:
y = -30 * x + 400
Exercise 3:
exponential growth:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 512
We look for b:
(768/512) * (100) = 150%
b = 1.5
Substituting:
y = 512 * (1.5) ^ ((1/2) * t)
We check for t = 4
y = 512 * (1.5) ^ ((1/2) * 4)
y = 1152
Answer:
exponential growth:
y = 512 * (1.5) ^ ((1/2) * t)
Answer:
false
Step-by-step explanation:
point slope form : y - y1 = m( x - x1 )
the equation y = 1/2x - 5 does not follow this therefore the answer is false
the equation y = -1/2x - 5 is instead put in slope intercept form , y = mx + b
Y= 3x^2-2x+5
6= 3(1)^2-2(1)+5
6= 3-2+5
F(x) = -x
f(x) = 1
f(x) = 2
f(x) = 3
f(x) = 2 − x
f(x) = 4
f(x) = x
Domain
Function Equation
1 ≤ x ≤ 2
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0 < x ≤ 1
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3 < x ≤ 4
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2 < x ≤ 3
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