In problems 33 − 48 , (a) graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y intercept, and x intercept, if any. (b) Determine the domain and range of the function. (c) Determine where the function is increasing and where it is decreasing. f ( x ) = − 3 x 2 + 3 x − 2
In problems 33 − 48 , (a) graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y intercept, and x intercept, if any. (b) Determine the domain and range of the function. (c) Determine where the function is increasing and where it is decreasing. f ( x ) = − 3 x 2 + 3 x − 2
Solution Summary: The author compares the quadratic function f(x) with the standard form, and determines whether the graph opens up or opens down.
In problems
33
−
48
, (a) graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry,
y
intercept, and
x
intercept, if any. (b) Determine the domain and range of the function. (c) Determine where the function is increasing and where it is decreasing.
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
Chapter 2 Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry -- Instant Access (Pearson+)
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