Determining Rules for Graphs of Exponential and Logarithmic Functions (VCE SSCE Mathematical Methods): Quizzes

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Determining Rules for Graphs of Exponential and Logarithmic Functions
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How many points are needed to find two unknown parameters in a function rule?

Two points

In y=aex+by = ae^x + b, what does parameter bb represent?

Vertical shift

For y=aex+by = ae^x + b, where is the horizontal asymptote located?

At y=by = b

What does parameter aa control in y=aex+by = ae^x + b and y=aloge(x+b)y = a\log_e(x + b)?

Vertical stretch/compression

For y=aloge(x+b)y = a\log_e(x + b), where is the vertical asymptote?

At x=bx = -b

What is the most efficient method for solving y=Aebty = Ae^{bt} form?

Division

Which point is most helpful for exponential functions?

yy-intercept (where x=0x = 0)

Which point simplifies calculations for logarithmic functions?

xx-intercept (where y=0y = 0)

What common calculator error should you avoid when using ee?

Using 'e' from alpha keys

What type of asymptote suggests a logarithmic function?

Vertical asymptote

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