Last updated on Nov 05, 2026

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 $f(x) = 2^x$

The number $2$

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

The variable $x$

Any number to the power of $0$ equals

$1$

Growth rate of exponential functions

Very fast (rapid growth)

Do exponential graphs go below $x$ -axis?

Never (always positive)

Point where exponential graphs cross $y$ -axis

$(0,1)$

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

$1$

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

$8$

How exponential graphs grow

Start slow, then increase quickly

Values of exponential functions are always

Positive

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