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Popular Functions >

y=kx^2

Solution

y = k x^{2}

Solution

Domain : - \infty < x < \infty

Range : (f (x) \geq 0 and k > 0) or (f (x) \leq 0 and k < 0)

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Vertex : {k > 0 : Minimum (0, 0), k < 0 : Maximum (0, 0)}

Inverse : \frac{x}{k}, - \frac{x}{k}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (f (x) \in [0, \infty) \cap k \in (0, \infty)) \cup (f (x) \in (- \infty, 0] \cap k \in (- \infty, 0))

Solution steps

Domain of

k x^{2} : - \infty < x < \infty

Range of

k x^{2} : (f (x) \geq 0 and k > 0) or (f (x) \leq 0 and k < 0)

Axis interception points of

k x^{2} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Vertex of

k x^{2} : {k > 0 : Minimum (0, 0), k < 0 : Maximum (0, 0)}

Inverse of

k x^{2} : \frac{x}{k}, - \frac{x}{k}

Graph

Popular Examples

domain of f(t)=sin(5t)cos(2t)+5e^{3t}+6t^4

f(x)=(-3x^2-18x-15)/(2x^2+9x-5)

f(x)=log_{x+2}(2x+3)

Frequently Asked Questions (FAQ)

What is the y=kx^2 ?
The y=kx^2 is