Exponential Functions
Is this growth or decay?
y= 3(7)x
Growth
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
5x2 + 10x
5x(x + 2)
Multiply the Polynomials:
3x2(2x4)
6x6
What are the x intercepts?
x2 + 7x + 12
(-3, 0) and (-4, 0)
3p2 - 2p -5
(3p-5)(p+1)
Is this growth or decay?
y= 3(.75)x
Decay
Subtract the polynomials:
(-3a - 2) - (7a + 5)
-10a -7
-20x2 +8x
-4x(5x - 2)
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
What are the x intercepts?
x2 + 8x + 15
(-3, 0) and (-5, 0)
2n2 + 3n -9
(2n-3)(n+3)
An element with mass 280 grams decays by 29.6% per minute. How much of the element is remaining after 14 minutes, to the nearest 10th of a gram
2.1
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
x2 -49
(x +7)(x-7)
Multiply the Polynomials:
(2m - 1)(m + 2)
2m2 + 3m - 2
What are the x intercepts?
(x - 4)(x + 6)
(4, 0) and (-6, 0)
3n2 - 8n +4
(3n -2)(n - 2)
A new car is purchased for $22,900. The value of the car depreciates at 12.5% per year. What will the value of the car be, to the nearest cent, after 11 years?
$5,271.38
Subtract the polynomials:
(t2 + 3t3 -3) - (2t2 +7t -2t3)
5t3 - 1t2 - 7t - 3
x2 + 7x - 8
(x + 8)(x - 1)
Multiply the Polynomials:
(4n - 1)(3n + 4)
12n2 + 13n - 4
What are the x intercepts?
(2x+4)(x-1)
(-2, 0) and (1, 0)
2v2 +11v + 5
(2v+1)(v+5)
A town has a population of 12,000 and grows at 5% every year. What will be the population after 11 years, to the nearest whole number?
20,524
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
2x2 + 16x + 30
2(x+5)(x+3)
Multiply the Polynomials:
7(d + 3)(d - 4)
7d2 -7d -84
What are the x intercepts 2x2 -5x -3
(-.5, 0) and (3, 0)
5n2 + 19m +12
(5n+4)(n+3)