Types of Graphs (Junior Cert Mathematics): Flashcards

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Exponential: y=a^x
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What is an exponential function?

A function where the variable appears as the exponent

Base in f(x)=2xf(x) = 2^x

The number 22

Exponent in f(x)=2xf(x) = 2^x

The variable xx

Any number to the power of 00 equals

11

Growth rate of exponential functions

Very fast (rapid growth)

Do exponential graphs go below xx-axis?

Never (always positive)

Point where exponential graphs cross yy-axis

(0,1)(0,1)

f(x)=2xf(x) = 2^x when x=0x = 0

11

f(x)=2xf(x) = 2^x when x=3x = 3

88

How exponential graphs grow

Start slow, then increase quickly

Values of exponential functions are always

Positive

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