Domain Range and End Behavior of a Quadratic Function

Domain

Range

Relation

Function

x → ∞, y→ ∞ and
x→ ∞, y→⁻∞

x → ∞, y→ ∞ and
x→⁻∞, y→∞

None of these

x →∞,y→⁻∞ and
x→∞, y→⁻∞

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

x →∞, y→∞ and x→⁻∞, y→∞

x →∞, y→∞ and x→⁻∞, y→0

x →∞,y→∞ and x→⁻∞, y→⁻∞

Domain: $$x\ge-3$$  

Range: $$y\ge5$$  

Domain: All real numbers

Range: $$y\ge5$$  

Domain: $$x\ge-3$$  Range: All real numbers

Domain: $$y\ge5$$  

Range: $$x\ge-3$$  

Domain: $$x\ge-3$$  

Range: $$y\ge5$$  

Domain: All real numbers

Range: $$y\ge5$$  

Domain: $$x\ge-3$$  

Range: All real numbers

Domain: $$y\ge5$$  

Range: $$x\ge-3$$  

Domain: all real numbers
Range: $$y\ge2$$

Domain: all real numbers
Range: $$y\le2$$

Domain: all real numbers
Range: $$y>2$$

Domain: all real numbers
Range: $$y<2$$

Domain: $$x\ge-3$$  

Range: $$y\ge5$$  

Domain: All real numbers

Range: $$y\ge5$$  

Domain: $$x\ge-3$$  Range: All real numbers

Domain: $$y\ge5$$  

Range: $$x\ge-3$$  

$$Domain:\ All\ real\ numbers$$ $$Range:\ y\le-4$$

$$Domain:\ All\ real\ numbers$$ $$Range:\ y\ge-4$$

$$Domain:\ x\ge-4$$ $$Range:\ All\ real\ numbers$$

$$Domain:\ y\ge-4$$ $$Range:\ All\ real\ numbers$$

Domain: x≥-4
Range: all real numbers

Domain: all real numbers
Range: y <-4

Domain: all real numbers
Range: y ≥-4

Domain: x < -1
Range: all real numbers

$$0\le x\le2.5$$  

$$0\le y\le25$$  

All real numbers

$$0\le y\le2.5$$

$$0\le x\le25$$