Algebra 2 Pre-AP
Name ____________________________
Inverse of Square Root Function and Square Root Functions From A Table
Find the inverse of the following square root functions:
Ex. f ( x)  2 x  5
Ex. f ( x)  
1
x  4 5
2
Find an equation for the square root function, f(x), given below.
x
-2
-1
2
7
f ( x)
-3
-2.5
-2
-1.5
We will use the regression feature of the calculator in order to
complete this. *Note: there is not a square root regression*
We will first flip the data in order to look at the inverse of the
function. What type of function will the inverse of f ( x) be?
Using the appropriate regression, what is the equation the calculator
gives?
Using what we found for f 1 ( x) , what is f ( x) ? Sketch a picture to determine which square root function
describes the data in the table.
Find the inverse of the following square root functions:
1) f ( x)  2
1
x 1
3
2) f ( x)   2( x  1)  3
3) f ( x)  3 2 x  4  2
Using a calculator, find an equation for the square root functions, f(x), given below.
4)
5)
x
f ( x)
-1
0
3
8
-5
-7
-9
-11
6)
x
0
2
8
18
f ( x)
x
-1
-5
-17
-26
f ( x)
-1
2
5
8
7)
x
-2
7
34
79
f ( x)
4
5
6
7
2
1.5
1
.75