Algebra II. If x varies directly as z and k represents the constant of proportionality, what is the equation that models this variation?

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Presentation transcript:

Algebra II

If x varies directly as z and k represents the constant of proportionality, what is the equation that models this variation?

If y varies inversely as x and y=12 when x=10, find y when x=15.

Write the model that shows that z is directly proportional to the square of x and inversely proportional to the cube of y?

The volume of gas varies directly as its temperature and inversely as its pressure. At a temp. of 375 degrees and a pressure of 25 pascals, the volume of gas is 30 cm 3. What is the volume is the temp. is 320 degree and the pressure is 40 pascals?

Find :

What does it mean when you compose two functions and you get just ‘x’?

Find:

Find the inverse. Is it a function?

Find the inverse:

What test do we use to determine if a function is one-to-one?

Which functions are 1-to-1?

What is the line that an inverse graph is reflected over? y = x

What is the Domain & Range of this graph?

What is the Domain & Range of the Inverse of this graph?

GOOD LUCK ON YOUR TEST!!!! STUDY STUDY!!!!