Examples with solutions for Increasing and Decreasing Domain of a Parabola: Representation of value a only

Exercise #1

Find the domain of decrease of the function: y=10x2 y=10x^2

Video Solution

Answer

x < 0

Exercise #2

Find the domain of increase of the function:

y=2x2 y=2x^2

Video Solution

Answer

x > 0

Exercise #3

Find the domain of decrease of the function: y=2x2 y=2x^2

Video Solution

Answer

x < 0

Exercise #4

Find the domain of increase of the function:

y=x2 y=x^2

Video Solution

Answer

x > 0

Exercise #5

Find the domain of decrease of the function: y=x2 y=x^2

Video Solution

Answer

x < 0

Exercise #6

Find the domain of decrease of the function: y=9x2 y=-9x^2

Video Solution

Answer

x > 0

Exercise #7

Find the domain where the function is increasing:

y=4x2 y=-4x^2

Video Solution

Answer

x < 0

Exercise #8

Find the domain of decrease of the function: y=4x2 y=-4x^2

Video Solution

Answer

x > 0

Exercise #9

Find the domain of increase of the function:

y=x2 y=-x^2

Video Solution

Answer

x < 0

Exercise #10

Find the domain of decrease of the function: y=x2 y=-x^2

Video Solution

Answer

x > 0

Exercise #11

Find the domain of increase of the function:

y=10x2 y=10x^2

Video Solution

Answer

x > 0

Exercise #12

Find the intervals of increase and decrease of the function:
y=14x2 y=-\frac{1}{4}x^2

Video Solution

Answer

\searrow~:x>0~~|~\nearrow~:x<0

Exercise #13

Find the intervals where the function is increasing and decreasing:

y=513x2 y=5\frac{1}{3}x^2

Video Solution

Answer

\searrow~:x<0~~|~\nearrow~:x>0

Exercise #14

Find the intervals where the function increases and decreases:

y=12x2 y=\frac{1}{2}x^2

Video Solution

Answer

\searrow:x<0|\nearrow:x>0

Exercise #15

Find the intervals where the function is increasing and decreasing:
y=615x2 y=-6\frac{1}{5}x^2

Video Solution

Answer

\searrow:x>0\nearrow:x<0