How Do I Graph the Vector Function r(t)=t^2i + t^3j?

[stau40]

Homework Statement

Sketch the curve given by the vector valued function r(t)=t^2i + t^3j, -infinity<t<infinity

Homework Equations

The Attempt at a Solution

I'm confused with how to graph it when it's not two separate values separated with a comma. Am I allowed to plug in a t value for t^2 to get the x coordinate then plug in the same t value for t^3 to get the y coordinate?

 

[Mark44]

Homework Statement

Sketch the curve given by the vector valued function r(t)=t^2i + t^3j, -infinity<t<infinity

Homework Equations

The Attempt at a Solution

I'm confused with how to graph it when it's not two separate values separated with a comma. Am I allowed to plug in a t value for t^2 to get the x coordinate then plug in the same t value for t^3 to get the y coordinate?

Sure. Each point on the graph of this function corresponds to a particular value of t, so when t = 0, for example, you get the point (0, 0).