U2D8 Graphing Exponential and Log Functions Feb3

Posljednje ažuriranje about 1 year ago

Napomena autora:

Instrukcije

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U2D8 Graphing Exponential and Log Functions Feb3

Posljednje ažuriranje about 1 year ago

Napomena autora:

In this lesson we will learn several ways to graph exponential and logarithmic functions.

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Instrukcije

In this lesson we will learn several ways to graph exponential and logarithmic functions.

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MODELING REAL LIFE
Skydivers use an altimeter to track their altitudes as they fall. The altimeter determines altitude by measuring air pressure. The altitude h (in meters) above sea level is related to the air pressure P (in pascals) by the function shown in the diagram. What is the altitude above sea level when the air pressure is 57,000 pascals? (Round your answer to the nearest hundredths.)

MODELING REAL LIFE

The energy magnitude of an earthquake can be modeled by

where x is the amount of energy released (in ergs).

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In 2019, an earthquake near Ridgecrest, California released 3.16 x 10²⁵ ergs. What was the energy magnitude of the earthquake?

The energy magnitude of the earthquake was . (Round your answer to the nearest tenth.)

Find and interpret f ⁻¹(x).

Use technology to graph f and f⁻¹. Find the asymptotes and when the function is positive, negative, increasing, or decreasing.

Evaluate each problem.

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Use asymptotes and transformations to match each function to its graph.

Stavka koja se može prevući		Odgovarajuća stavka

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You Try!
Try finding the asymptote and graphing two coordinates.

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You Try!
Try finding the asymptote and graphing two coordinates.

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ERROR ANALYSIS

Describe and correct the error in graphing the transformation of f represented by g.

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Match each function to its graph. Use transformations to help you figure it out.

Stavka koja se može prevući		Odgovarajuća stavka

The graph of g is a transformation of the graph of f(x) = 3^x.

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This is the graph of g. You can look up the graph for f(x) = 3^x.

How was g transformed from f?

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U2D8 Graphing Exponential and Log Functions Feb3

U2D8 Graphing Exponential and Log Functions Feb3

Find and interpret f −1(x).

Use technology to graph f and f−1. Find the asymptotes and when the function is positive, negative, increasing, or decreasing.

Use asymptotes and transformations to match each function to its graph.

You Try!Try finding the asymptote and graphing two coordinates.

You Try!Try finding the asymptote and graphing two coordinates.

Match each function to its graph. Use transformations to help you figure it out.

How was g transformed from f?

Find and interpret f −1(x).

Use technology to graph f and f−1. Find the asymptotes and when the function is positive, negative, increasing, or decreasing.

Use asymptotes and transformations to match each function to its graph.

You Try!Try finding the asymptote and graphing two coordinates.

You Try!Try finding the asymptote and graphing two coordinates.

Match each function to its graph. Use transformations to help you figure it out.

How was g transformed from f?

Find and interpret f ⁻¹(x).

Use technology to graph f and f⁻¹. Find the asymptotes and when the function is positive, negative, increasing, or decreasing.

You Try!
Try finding the asymptote and graphing two coordinates.

You Try!
Try finding the asymptote and graphing two coordinates.

Find and interpret f ⁻¹(x).

Use technology to graph f and f⁻¹. Find the asymptotes and when the function is positive, negative, increasing, or decreasing.

You Try!
Try finding the asymptote and graphing two coordinates.

You Try!
Try finding the asymptote and graphing two coordinates.