algebra 2 7.1

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1. 5–2 Evaluate the expression without using a calculator. Bell Ringer WarmUps

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EXAMPLE 1 Graph y = b for b > 1 x SOLUTION Make a table of values. STEP 1 STEP 2 Plot the points from the table. STEP 3 Draw, from left to right, a smooth curve that begins just above the x-axis, passes through the plotted points, and moves up to the right.

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EXAMPLE 2 Graph the function. SOLUTION Find the y-values for the following points ( 0 , ) and ( 1 , ) Then plot the points b. Draw a smooth curve through the points with the x axis as an asymptote 1/2 2

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EXAMPLE 2 Graph the function. SOLUTION Find ( 0 , ) and ( 1 , ) -1 -5/2

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EXAMPLE 3 SOLUTION

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GUIDED PRACTICE for Examples 1, 2 and 3 Graph the function. State the domain and range.

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GUIDED PRACTICE for Examples 1, 2 and 3 Graph the function. State the domain and range.

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GUIDED PRACTICE for Examples 1, 2 and 3 Graph the function. State the domain and range.

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EXAMPLE 5 Find the balance in an account a. Quarterly b. Daily Compound Interest Formula P = Amount of money started with r = interest rate as a decimal n = number of compounding times per year t = time in years

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EXAMPLE 5 Find the balance in an account = 4118.09 P = 4000, r = 0.0292, n = 4, t = 1 Simplify. Use a calculator. ANSWER The balance at the end of 1 year is $4118.09. SOLUTION a. With interest compounded quarterly, the balance after 1 year is: Write compound interest formula.

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EXAMPLE 5 Find the balance in an account b. With interest compounded daily, the balance after 1 year is: = 4118.52 Write compound interest formula. P = 4000, r = 0.0292, n = 365, t = 1 Simplify. Use a calculator.

Homework 7.1 : 

Homework 7.1 Pages: 482 – 485 Exs. 3,4,5,6,10,14,16,20,24,37,38,45,46

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GUIDED PRACTICE for Example 5 6. FINANCE You deposit $2000 in an account that pays 4% annual interest. Find the balance after 3 years if the interest is compounded daily. a. With interest compounded daily, the balance after 3 years is: