Evaluation and Function Operations
What is the domain of {(4, 5), (2, 1), (6, 3)}?
D:{4, 2, 6}
Are f(x) = x - 2 and g(x) = x + 2 inverses?
Yes.
Is y = x2 a one-to-one function?
No
What is the reciprocal on 10/3?
3/10
What is f(g(5)) when f(x) = 7x + 1 and g(x) = x + 5?
g(5) = 10 so f(g(5)) = f(10) = 71
Is the function given a one-to-one function?
{(-3, 6), (20, 18), (4, -6), (3, -10)}
yes!
What is the inverse of g(x) = 2x - 1
g-1 (x) = (x + 1)/2
What tests have to be passed for a function to be one-to-one?
VLT and HLT
What makes a relation a function?
Every x has only one y! (Every input has only one output)
Function g can be described as a number squared minus 10. What is g(1)
g(1) = -9
What is the domain of the following function: {(1, 3), (2, -1), (0, 4), (8, 0), (-9, 1)}
D: {-9, 0, 1, 2, 8}
What is the inverse of f(x) = 3x - 1?
f-1(x) = (x+1)/3
What is the inverse of f(x) = 4x - 5
f-1(x) = (x + 5)/4
How many times was FDR elected president?
Four Times.
Evaluate h(x) = 2x - 4 + x2 . Evaluate h(5)
h(5) = 31
Which value will make the given function one-to-one?
{(3, 8), (-1, -1), (13, 6), (-2, k)}
a) 8 b) -1
c) 6 d) 13
d) 13
Are f(x) = 9x -1 and g(x) = 1/9x + 9 inverse functions?
No.
Is y= x3+1 a one-to-one function?
Yes.
How many feet in a mile?
5,280
What is (f(g(x)) when f(x) = x - 7 and g(x) = 9x - 2
g(x) = 9x - 2, so f(9x-2) = (9x - 2) -7 = 9x - 9
What is the range of a function that has arrows on both ends and gets "taller" in both directions continuously?
-inf < y < inf
What is the inverse of f(x)if it is equal to the square root of x?
f-1(x) = x2
What is f-1(4), if f(x) = (2/3)x - 6?
f-1(4) = 15
Name a movie that Nicholas Cage was in.
To be verified with the internet.