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Radical Expressions
&
Rational Exponents
Solving Radical Equations
Piecewise Functions
Operations with Functions
Functions & Their Inverses
100
This is the square root of 25/121.
What is 5/11?
100
After solving the equation: square root of (x+1) = x-5, x is equal to the following value(s).
What is x = 8?
100
For f(x) = {100; if x < 0}&{0; if x ≥ 0}...Evaluate x = -8 and x = 5
What are 100 and 0?
100
This is what you get when you have f(x) = x
2
- 5x - 14, and g(x) = x - 7 take (g-f)(x).
What is -x
2
+ 6x + 7?
100
This is the inverse of f(x) = -3(x-6)
2
.
What is (-x/3)
2
+ 6?
200
If you simplify the 4th root of (80/9), you get this result.
What is 2(45
1/4
)/3?
200
For the equation, square root of (x+8) - x = 4, this is the extraneous solution.
What is x = 1?
200
Graph the piecewise function: f(x) = {-x+2; if x ≤ 5} {x; if 5 < x < 8} {6; if 8 ≤ x}
YOU ALL BETTER GET THIS RIGHT!!!
200
This is what you get when you have f(x) = x
2
- 5x - 14, and g(x) = x - 7 take (fg)(x).
What is x
3
- 12x
2
+ 21x + 98?
200
This test allows you to see if the inverse of a function is a function as well.
What is the Horizontal Test?
300
This is the quotient of the 4th root of 32 and the 4th root of x
4
.
What is 2(2
1/4
)/x?
300
IF you plug this solution into the equation x = (2x+35)
1/2
, it will solve the equation.
What is x = 7?
300
For f(x) = {2x; if x < 0}&{x
2
- 3x; if x ≥ 0}...Evaluate x = -14 and x = 6
What are -28 and 18?
300
When you let f(x) = x - 2 and g(x) = 8/(x+1) and find f(g(-2)), you get this value.
What is -10?
300
This the original function f(x), since f(x)
-1
= (x-3)
2
+ 5 is an inverse.
What is f(x) = 3 + (x - 5)
1/2
?
400
The result of the 5th root of (x
10
y
5
z
6
) divided by the 5th root of 9.
What is x
2
yz(27z)
1/5
/3?
400
If you solve the equation, square root of (x+5) - x = 3, you'll find this number of solutions.
What is 2?
400
Graph the piecewise function f(x) = {-2x-5; if x < -2}{x
2
-3; if x ≥ -2}
This is easy!!
400
When you let f(x) = x - 2 and g(x) = 8/(x+1) and find g(f(1)), you get this value.
What is undefined?
400
When you evaluate f(x) = 3x - 5, g(x) = (x - 3)/5 by composition, you find that they have this relation.
What is "not inverses"?
500
The volume of a cubic box is 343 cubic inches. This is the length of 1 side of the cubic box.
What is 7 inches?
500
If you solve the equation, square root of (6x-4) = x, you'll find these solutions.
What is 3 +/- the square root of 5?
500
Evaluate the function f(x) = {15; if x ≤ -5}&{x; if -5 < x <1}&{7 - x/2; if 1 < x} when x = -2 and x = 5/2
What are -2 and 23/4?
500
If f(x) = x
2
, g(x) = (x +1)/x, and h(x) = x - 1, evaluate g(f(h(x)))
What is (x
2
- 2x + 2)/(x - 1)
2
?
500
Between the functions f(x) = (2 - 5x)/9 and f(x) = (5 - 2x)/9, you find that this is the correct inverse of -9x/2 + 5/2.
What is (5 - 2x)/9?