Question

Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)

Answer 1

Answer:

y=|x+1|

Step-by-step explanation:

The y value appears to be 1 more than the x value, so we need to add one to the x to make them even. (x+1)

But the y value doesn’t go below zero, so we need to add the absolute value brackets |x+1|

So y=|x+1|

Answer 2

The graph represents the equation : g(x) = |x + 1|

We have a graph given to us.

We have to write the algebraic expression depicting this graph.

What is Modulus of the function y = f(x) = x ?

The modulus of the function y = f(x) = x is given by -  

y = |x| = $\left \{ {{x\;\;for\;x > 0} \atop {-x\;\;for\;x < 0}} \right.$

Using the above property, we can find out the number of solutions of any modulus equation.

The algebraic equation for the graph can be written as -

g(x) = $\left \{ {{x+1;\;for\;x \geq 0} \atop {-x-1\;for\;x < 0}} \right.$

In the form of modulus function, we can write the above equation as -

g(x) = |x + 1|

Hence, the graph represents the equation : g(x) = |x + 1|

To solve more questions on modulus function, visit the following link -

https://brainly.com/question/13103168

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