STAAR Success Lesson 4

STAAR Success Lesson 4-Exponential Functions

Be sure you are using the Testing version of the Desmos Graphing Calculator. Open link now:
https://www.desmos.com/testing/texas/graphing

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​Desmos Testing Version

Multiple Choice

Which exponential function models this situation?

• $$v\left(x\right)=9000\left(1.1\right)^x$$

• $$v\left(x\right)=9000\left(0.9\right)^x$$

• $$v\left(x\right)=8100\left(1.1\right)^x$$

• $$v\left(x\right)=8100\left(0.9\right)^x$$

Multiple Choice

What is the equation of the asymptote of the graph of the function $$y=16\left(0.75\right)^x$$ ?

• x=0

• x=16

• y=0

• y=0.75

Multiple Choice

What is the y-intercept of the graph $$h\left(x\right)=12.3\left(4.9\right)^x$$

• 12.3

• 4.9

• 60.27

• 5

Multiple Choice

What statement about $$p\left(x\right)=-7\left(4\right)^x$$ is true?

• The domain is all real numbers greater than or equal to 4.

• The range is all real numbers less than 0.

• The domain is all real numbers less than or equal to 0.

• The range is all real numbers.

Multiple Choice

The initial value of a home is $200,000. The value of the home will increase at a rate of 6% each year. Which graph best models this situation?

Multiple Choice

A customer purchases an electrical device for $650. Each year the value of the electronic device decreases by 30%. Which statement is true about the graph that represents the relationship between the value of the device in dollars, y, and the number of years, x, since the device was purchased?

• The y-intercept of the graph is 650.

• The y-intercept of the graph is 455.

• The graph has a vertical asymptote at x=0.

• The graph has a horizontal asymptote at y=30.

Multiple Choice

This year the number of students who participated in sports was 317. Each year the numbers of students participating increases by 4%. Which function can be used to model the number of students participating in sports after x years?

• $$y=317\left(4\right)^x$$

• $$y=4x+317$$

• $$y=317\left(1.04\right)^x$$

• $$y=1.04x+317$$

Great job!

Homework: Finish Reporting Category 5 this week: Exponential Functions. Remember your job is to watch youtube videos, take 3 pages of notes, and try quizzes. https://docs.google.com/spreadsheets/d/1abEn__a4QQL5YPK1JaKK29ZgN0P0E8q4/edit#gid=585345842

Take Home Practice STAAR Test will be given out in class today as well.