Sketch the Function Represented by the Given Parametric Equations $$x = 2 ^ { t } , y = t$$

question 162

Multiple Choice

Sketch the function represented by the given parametric equations. Then use the graph to determine each of the
following:
a. intervals, if any, on which the function is increasing and intervals, if any, on which the function is decreasing.
b. the number, if any, at which the function has a maximum and this maximum value, or the number, if any, at
which the function has a minimum and this minimum value.
- $$x = 2 ^ { t } , y = t$$

• A) Increasing on: \(( 0 , \infty )\)
• B) Increasing on: \([ 1 , \infty )\); Minimum: \(( 1,1 )\)
• C) Increasing on: \(( 0 , \infty )\)
• D) Decreasing on: \(( 0 , \infty )\)

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