Equations with Absolute Values: Identifying functions from graphs

Quadratic equationAbsolute value on both sides of the equationDouble absolute valueSystem of equationsSolving the problem
Question 1

The graph corresponds to

Question 2

The graph corresponds to

5

Question 3

The graph corresponds to

1

Question 4

The graph corresponds to

333-6

Question 5

The graph corresponds to

(3, 3)(3, 3)(3, 3)(9, 3)(9, 3)(9, 3)36

Examples with solutions for Equations with Absolute Values: Identifying functions from graphs

Exercise #1

The graph corresponds to

Video Solution

Answer

y=∣x∣ y=|x|

Exercise #2

The graph corresponds to

5

Video Solution

Answer

∣x−5∣ |x-5|

Exercise #3

The graph corresponds to

1

Video Solution

Answer

y=∣x−1∣ y=\lvert x-1\rvert

Exercise #4

The graph corresponds to

333-6

Video Solution

Answer

{f(x)=∣x+6∣g(x)=3 \begin{cases} f(x)= |x+6| \\ g(x)=3 \end{cases}

Exercise #5

The graph corresponds to

(3, 3)(3, 3)(3, 3)(9, 3)(9, 3)(9, 3)36

Video Solution

Answer

{f(x)=∣x−6∣g(x)=3 \begin{cases} f(x)= |x-6| \\ g(x)=3 \end{cases}

Question 1

The graph corresponds to

(3, 2)(3, 2)(3, 2)(7, 2)(7, 2)(7, 2)25

Question 2

The graph corresponds to

3

Exercise #6

The graph corresponds to

(3, 2)(3, 2)(3, 2)(7, 2)(7, 2)(7, 2)25

Video Solution

Answer

{f(x)=∣x−5∣g(x)=2 \begin{cases} f(x)=|x-5| \\ g(x)=2 \end{cases}

Exercise #7

The graph corresponds to

3

Video Solution

Answer

f(x)=∣x2−3∣ f(x)=|x^2-3|