Increasing and Decreasing Domain of a Parabola: With fractions

Question 1

Find the intervals where the function is increasing and decreasing:

$y=-3\frac{1}{3}x^2-0.4$

Question 2

Find the intervals where the function increases and decreases:
$y=\frac{7}{9}x^2+2$

Question 3

Find the intervals where the function increases and decreases:
$y=\frac{1}{4}x^2+0.5$

Question 4

Find the intervals where the function is increasing and decreasing:
$$ y=3x^2+16x $$

Question 5

Find the intervals where the function is increasing and decreasing:

$y=\frac{1}{5}x^2-4\frac{2}{9}x$

Examples with solutions for Increasing and Decreasing Domain of a Parabola: With fractions

Exercise #1

Find the intervals where the function is increasing and decreasing:

$y=-3\frac{1}{3}x^2-0.4$

Video Solution

Answer

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

Exercise #2

Find the intervals where the function increases and decreases:
$y=\frac{7}{9}x^2+2$

Video Solution

Answer

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

Exercise #3

Find the intervals where the function increases and decreases:
$y=\frac{1}{4}x^2+0.5$

Video Solution

Answer

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

Exercise #4

Find the intervals where the function is increasing and decreasing:
$y=3x^2+16x$

Video Solution

Answer

$\searrow:x<-\frac{8}{3}\nearrow:x>-\frac{8}{3}$

Exercise #5

Find the intervals where the function is increasing and decreasing:

$y=\frac{1}{5}x^2-4\frac{2}{9}x$

Video Solution

Answer

$\searrow:x<\frac{95}{9}\nearrow:x>\frac{95}{9}$

Question 1

Find the intervals where the function is increasing and decreasing:

$y=-\frac{1}{6}x^2-\frac{5}{7}$

Question 2

Find the intervals where the function is increasing and decreasing:

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

Question 3

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

Question 4

Find the intervals where the function increases and decreases:

$y=\frac{1}{3}x^2-3$

Question 5

Find the intervals where the function is increasing and decreasing:

$$ y=-2x^2+10x $$

Exercise #6

Find the intervals where the function is increasing and decreasing:

$y=-\frac{1}{6}x^2-\frac{5}{7}$

Video Solution

Answer

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

Exercise #7

Find the intervals where the function is increasing and decreasing:

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

Video Solution

Answer

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

Exercise #8

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

Video Solution

Answer

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

Exercise #9

Find the intervals where the function increases and decreases:

$y=\frac{1}{3}x^2-3$

Video Solution

Answer

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

Exercise #10

Find the intervals where the function is increasing and decreasing:

$y=-2x^2+10x$

Video Solution

Answer

$\searrow:x>2\frac{1}{2}\nearrow:x<2\frac{1}{2}$

Question 1

Find the intervals where the function is increasing and decreasing:

$y=\frac{1}{2}x^2-2$

Question 2

Find the intervals where the function increases and decreases:

$$ $y=\frac{1}{2}x^2$

Question 3

Find the intervals where the function increases and decreases:
$y=-\frac{1}{6}x^2+16\frac{2}{3}$

Question 4

Find the intervals of increase and decrease of the function:
$y=-\frac{1}{2}x^2+2\frac{25}{72}$

Question 5

Find the intervals where the function is increasing and decreasing:

$y=\frac{1}{2}x^2-12\frac{1}{2}$

Exercise #11

Find the intervals where the function is increasing and decreasing:

$y=\frac{1}{2}x^2-2$

Video Solution

Answer

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

Exercise #12

Find the intervals where the function increases and decreases:

$y=\frac{1}{2}x^2$

Video Solution

Answer

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

Exercise #13

Find the intervals where the function increases and decreases:
$y=-\frac{1}{6}x^2+16\frac{2}{3}$

Video Solution

Answer

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

Exercise #14

Find the intervals of increase and decrease of the function:
$y=-\frac{1}{2}x^2+2\frac{25}{72}$

Video Solution

Answer

$\searrow:x>0\nearrow:x<0$
$\nearrow:x < -2\frac{1}{6}$ or $x > 2\frac{1}{6}$

Exercise #15

Find the intervals where the function is increasing and decreasing:

$y=\frac{1}{2}x^2-12\frac{1}{2}$

Video Solution

Answer

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

Question 1

Find the intervals where the function increases and decreases:
$y=-\frac{1}{4}x^2+6\frac{1}{4}$

Question 2

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

Question 3

Find the intervals where the function increases and decreases:
$y=\frac{1}{4}x^2-9$

Exercise #16

Find the intervals where the function increases and decreases:
$y=-\frac{1}{4}x^2+6\frac{1}{4}$

Video Solution

Answer

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

Exercise #17

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

Video Solution

Answer

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

Exercise #18

Find the intervals where the function increases and decreases:
$y=\frac{1}{4}x^2-9$

Video Solution

Answer

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