Functions/Graphs (Junior Cert Mathematics): Flashcards

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f(1)f(1) where f(x)=2x23x+4f(x) = 2x^2 - 3x + 4

33

f(2)f(-2) where f(x)=2x23x+4f(x) = 2x^2 - 3x + 4

1818

xx when f(x)=17f(x) = 17 for f(x)=5x8f(x) = 5x - 8

x=5x = 5

Roots of a function definition

Points where function crosses x-axis (y=0y = 0)

Roots of f(x)=x25x+6f(x) = x^2 - 5x + 6

x=2x = 2 and x=3x = 3

Methods to find quadratic roots

Factorisation or quadratic formula

xx where f(x)=g(x)f(x) = g(x) for f(x)=3x+2f(x)=3x+2, g(x)=2x+5g(x)=2x+5

x=3x = 3

Shape of linear function graph

Straight line

How to graph a linear function

Calculate yy for each xx, plot points, connect with line

Finding xx from given f(x)f(x) value

Work backward, undo each operation step by step

Process of evaluating a function

Replace xx with given number and calculate

Where two functions intersect means

Both functions give same output for same xx input

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