Exponential Functions (Grade 11 NSC Matric Mathematics): Flashcards

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Exponential Functions
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General form of exponential function

y=ab(x+p)+qy = ab^{(x+p)} + q

What parameter qq does in y=abx+qy = ab^x + q

Vertical shift

Horizontal asymptote of y=abx+qy = ab^x + q

y=qy = q

When a>0a > 0 in exponential function

Function is increasing

When b>1b > 1 with a>0a > 0

Exponential growth

When 0<b<10 < b < 1 with a>0a > 0

Exponential decay

What parameter pp does in y=ab(x+p)+qy = ab^{(x+p)} + q

Horizontal shift

Domain of exponential functions

All real numbers

Range when a>0a > 0 in y=abx+qy = ab^x + q

y>qy > q

Finding y-intercept method

Substitute x=0x = 0

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