Interactive practice questions
Consider the cubic function $y=-\frac{x^3}{4}+2$y=−x34+2
a
Is the cubic increasing or decreasing from left to right?
Increasing
A
Decreasing
B
b
Is the function more or less steep than function $y=x^3$y=x3 ?
More steep
A
Less steep
B
c
What are the coordinates of the point of inflection of the function?
Inflection ($\editable{}$, $\editable{}$)
d
Plot the graph $y=-\frac{x^3}{4}+2$y=−x34+2
Loading Graph...
Easy
2min
Consider the hyperbolic function $y=\frac{3}{x}-3$y=3x−3
Easy
2min
Determine the equation of the new curve after performing the following transformations.
Easy
2min
A graph of $y=x^2$y=x2 is shown here. By dragging the points provided, plot the curve after it has undergone transformations resulting in the function $y=4x^2-2$y=4x2−2.
Easy
1min
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