Hello I would appreciate any help with the following problem.

Printable View

- August 4th 2006, 06:11 AMpashahGraphing
Hello I would appreciate any help with the following problem.

- August 4th 2006, 06:49 AMgalactus
The graph of

Can you see what the domain is?. - August 4th 2006, 06:54 AMQuick
quick overview: hopefully you know what this looks like,

now when you see an equation like this you move the graph of left 5 units, if you see an equation like this you move the graph of down 2 units.

the x-intercepts happen when f(x)=0 therefore we have:

now anything multiplies by zero is zero, so only one of the two groups has to be zero for the entire equation to go, so we figure out when either of them are zero:

so the y-intercepts are when - August 4th 2006, 07:32 AMSoroban
Hello, pashah!

Quote:

Sketch the graph and state the domain and range.

. .

Since must be nonnegative: . (domain)

The minimum value of occurs when

Hence, the range is: .

We have: .

Square the equation: .

We have a parabola with vertex which opens to the right:

And we want only the upper half.Code:`|`

| *

*

- - - - * - + - - - - -

* |

* |

* |

(-5,-2) |

Quote:

Graph and identity all intercepts.

. .

If . . . y-intercept:

If . . . x-intercepts:

This is a cubic graph which rises to the right.

Since has an even exponent,

. . the graph is__tangent__to the x-axis atCode:`|`

* * *

-2 * | * *

- - - * - - + - - -*- - -

* | 2

* |