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CompositionsFunctions Slope and Graphs Parallel & Perpendicular.

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Presentation transcript:

CompositionsFunctions Slope and Graphs Parallel & Perpendicular Lines Regression

Suppose Find

DAILY DOUBLE: Solve the following absolute value problem:

Suppose Find

Is a function?

No, the input of 2 has two different outs of 3 and 5!

Given find x if f(x) = 10.

What is the domain and range in interval notation?

Given What is the domain in set-builder notation?

Given What is the domain in set-builder notation?

Find the slope of the line going through

DAILY DOUBLE You finally get your driver’s license and borrow money for your first car. The bank charges you 11% simple interest. After one year, $9,500 pays off your loan. How much money did you originally borrow?

Write the equation of a line going through the points

Find the x-intercept and y-intercept of.

Find the equation of a line perpendicular to and passing through.

DAILY DOUBLE Zack Cole shot an 86 on the golf course on Monday. On Friday, he shot a 95. What is the % change?

Determine whether the graphs of are parallel.

Not parallel because same line

Write the equation of the line, in slope-intercept form, that goes through the point (2, 8) that is parallel to.

Write the equation of the line, in slope-intercept form, that is perpendicular to 2y + 3x = 6 and goes through the point (3, 10).

Write the equation of a line going through (4, 7) that is perpendicular to the line going through (-2, 3) and (4, 11).

Input the data in your calculator and identify the x-variable and y- variable of the following: IncomeTaxes $8,000$24 $15,000$70 $25,000$180 $40,000$300 $75,000$560

x-variable : income y-variable: taxes Your taxes depend on your income!

Use the same data and find the regression equation. Round to 3 decimal places.

Predict the taxes for an income of $100,000.

Predict your income if the taxes were $850.

Based on your regression equation, state the slope and y-intercept. Explain the meaning of each in terms of income and taxes.

For each dollar your income increases, taxes will increase $0.008 (less than a penny). At $0 of income, your taxes are -$35.99.