1 Functions

Question 0

Which are NOT rules for functions
Y=x^2 + 3
Y^2 - x^2 =0
Y = sqrt(x +3)
Y^3 = x
Y^4 = x

Answer 0

Y^4 = x

Y^2 - x^2 =0

Question 1

A function must have

Answer 1

One output exactly

Question 2

Domain

Answer 2

Set of input values

Question 3

Domain of y = sqrt(x)

Answer 3

X can’t be a negative

Therefore the domain must me x ≥ 0

Question 4

What is the rule

Answer 4

The function equation

Question 5

Set of all the real numbers

Answer 5

×∈ℝ

Question 6

Domain for 1/ (t-2)

Answer 6

×∈ℝ, t ⊧2

Question 7

F(3) = 9 with arrows

Answer 7

F:3 → 9

Question 8

Many-one functions

Answer 8

Two or more inputs that give the same output

Question 9

If a function is not a many-one function, it must be a

Answer 9

One-one function

Question 10

If the function is < or > rather than ≤ or ≥ then the graph must have

Answer 10

An empty cycle on the end where the graph breaks

Question 11

The range

Answer 11

The complete set of possible output values

Question 12

How to find the range (2 options)

Answer 12

Complete the square, the number on the end (c)
F(x) ≥ c

Find the x value extremities, find what y value they give

Write in a < f(x) < 9

Question 13

Range of g(t) = 3^t

Answer 13

G(t) > 0

Question 14

Range of f(x) = 1/x -5. X⊧0

Answer 14

F(x) = x∈ℝ, f ⊧ -5

Question 15

Generally finding the range

Answer 15

Put in minimum value that is often the maximum range

0 < f(x) < (minimum value)
Or
0 < f(x) ≤ (minimum value)

The second sign depends on what it is in the domain

Question 16

What do many-one functions not have

Answer 16

NO INVERSE FUNCTIONS

Question 17

Why might there not be an inverse function?

Answer 17

ITS A MANY-ONE

Question 18

Domain of F^-1 (x)

Answer 18

=range of f(x)

Question 19

How to draw the inverse function

Answer 19

Draw function

Then reflect in y=x