Name:__________ warm-up 8-3

Find the LCM of 13xy3 and 20x2y2z

Find the perimeter of the triangle. Express in simplest form.

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Details of the DayEQ: How do radical functions model real-world problems and their solutions?

How are expressions involving radicals and exponents related?

I will be able to…

Activities:

Warm-upReview homeworkNotes: 8-3 Graphing Reciprocal FunctionsWed: 7-1,2,3Class work/ HW

Vocabulary:•reciprocal function has an equation of the form f(x) = 1/a(x), where a(x) is a linear function and a(x) ≠ 0•Hyperbola the set of all points in the plane such that the absolute value of the difference of the distances from two given points in the plane, called foci, is constant

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.• Determine properties of

reciprocal functions.• Graph transformations of

reciprocal functions.

8-3 Graphing Reciprocal Functions

A Quick Review Find the LCM of 13xy3 and 20x2y2z

A Quick Review Find the perimeter of the triangle. Express in simplest form.

Notes and examples

Determine the values of x for which is not defined.

Factor the denominator of the expression.

Notes and examplesDetermine the values of x for which is not defined

Identify the asymptotes, domain, and range of the function.

Notes and examplesIdentify the asymptotes, domain, and range of the function.

Identify the asymptotes of the function.

Notes and examplesIdentify the domain and range of the function

Notes and examples

Notes and examplesGraph the function State the domain and range.

Graph the function State the domain and range.

Notes and examplesState the domain and range of

Notes and examplesOMMUTING A commuter train has a nonstop service from one city to another, a distance of about 25 miles. Write an equation to represent the travel time between these two cities as a function of rail speed. Then graph the equation.

COMMUTING A commuter train has a nonstop service from one city to another, a distance of about 25 miles. Explain any limitations to the range and domain in this situation.

Notes and examplesA. TRAVEL A commuter bus has a nonstop service from one city to another, a distance of about 76 miles. Write an equation to represent the travel time between these two cities as a function of rail speed.

TRAVEL A commuter bus has a nonstop service from one city to another, a distance of about 76 miles. Graph the equation to represent the travel time between these two cities as a function of rail speed.

Notes and examples