The Parent Functions - MCR3U

g(x) = x²

Name: The Quadratic Function

Recommended x-values for a table of values: -2,-1,0,1,2

Domain: {xER}

Range: {yER | y ≥ 0}

f(x) = x

Name: The Linear Function

Recommended x-values for a table of values: -2,-1,0,1,2

Domain: {xER}

Range: {yER}

h(x)=√x

Name: The Square Root Function

Recommended x-values for a table of values: 0,1,4,9

Domain: {xER| x ≥ 0}

Range: {yER| y ≥ 0}

j(x) = |x|

Name: The Absolute Value Function

Recommended x-values for a table of values: -2,-1,0,1,2

Domain: {xER}

Range: {yER| y ≥ 0}

k(x) = 1/x

Name: The Reciprocal Function

Recommended x-values for a table of values: -2, -1, -0.5, 0, 0.5, 1, 2

Domain: {xER| x ≠ 0}

Range: {yER| y ≠ 0}

• if x = 0, y = undefined

x² + y² = 1

Name: The Circle Relation

Recommended x-values for a table of values: -1, 0, 0, 1

Domain: {xER| -1 ≤ x ≤ 1}

Range: {yER| -1 ≤ y ≥ 1}