1
List the type of function for each (options: "growth", "decay", "neither")
1. 4(1/2)2x+3 - 1
2. 2x2 - 7x + 4
3. 3/4(2)x
1. decay
2. neither
3. growth
Solve the exponential function:
82x+3 = (1/16)4x-2
x = -1/22
Mia deposits $1525 into a savings account that pays 5.2% annual interest compounded semi-annually.
Write the function that represents the situation, where A is the value of her investment after t years.
A = 1525(1 + .052/2)2t
Kameron deposits $800 into a savings account that has been growing continuously at an annual rate of 6.1%.
Write the function that represents the situation, where A is the value of his investment after t years.
A = 800e.061t
Write an exponential growth function that includes the following transformations:
-reflection over the x-axis
-vertical stretch by a factor of 3
-shift to the left 2 units
-shift up 1 unit
f(x) = -3(b)x+2 + 1
If Myrka's deposit of $2026 into a savings account that pays 1.13% weekly has been growing for 3 years, how much money does she have now?
$2,095.85
Graph the function & its asymptote:
g(x) = 2x-1 + 2
look at desmos
Describe the transformations of the function:
b(x) = -1/4(3)x+2 - 4
-reflection over the x -axis
-vertical compression by a factor of 1/4
-shift left 2 units
-shift down 4 units
List the Domain, Range, Y-Int, Asymptote, & End Behavior of:
f(x) = 3(2/3)x+1 + 2
Domain: All Real Numbers
Range: f(x) > 2
Y-Int: (0,4)
Asym: y=2
EB:
As x → ∞, f(x) → 2,
As x → -∞, f(x) → ∞
Find the average rate of change over the interval [-4,-1] for the following function:
j(x) = 5ex-2 + 4
(round calculations to two decimal points)
Avg rate of change = -0.08