### All Precalculus Resources

## Example Questions

### Example Question #1 : Graph Radical Functions

Graph:

**Possible Answers:**

**Correct answer:**

Remember , for .

Step 1, realize where starts: A) observe never occurs, B) zero-out the radical component of ;

C) The resulting point is .

Step 2, find simple points for after :

, so use ;

The next resulting point; .

, so use ;

The next resulting point; .

Step 3, draw a curve through the considered points.

### Example Question #1 : Graph Radical Functions

Solve for and use the solution to show where the radical functions intersect:

**Possible Answers:**

**Correct answer:**

To solve, first square both sides of the equation to reverse the square-rooting of the binomials, then simplify:

Now solve for :

The x-coordinate for the intersection point is .

Choose one of the two radical functions that compose the equation, and set the function equal to y. The more simple a function is, the easier it is to use:

Now substitute into the function.

The y-coordinate of the intersection point is .

The intersection point of the two radical functions is .

Now graph the two radical functions:

,

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