Math Reference, algebra homework help

Refer to the information on

page 397

to explain how square root functions can be used in bridge design. Assess the weights for which a diameter less than 1 is reasonable. Evaluate the amount of weight that the Sunshine Sky way Bridge can support.

7-3
Square Root Functions
and Inequalities
Main Ideas
• Graph and analyse
Square root functions
• Graph square root
inequalities.
GET READY for the Lesson
The Sunshine Skyway Bridge
across Tampa Bay, Florida, is
supported by 21 steel cables, each
9 inches in diameter. The amount
of weight that a steel cable can
support is given by w = 8d,
whered is the diameter of the
cable in inches and w is the
weight in tons.
New Vocabulary
square root function
square root inequality
If you need to know what
diameter a steel cable should
have to support a given weight,
you can use the equation
d =
Square Root Functions of a function contains a square root of a variable,
it is called a square root function. The parent function of the family of
square root functions is y = Vi. The inverse of a quadratic function is a
square root function only if the range is restricted to nonnegative
numbers
y = IVF is not a function
y = Vi is a function
In order for a square root to be a real number, the radicand cannot be
negative. When graphing a square root function, determine when the
radicand would be negative and exclude those values from the domain.