Core 3 - Functions

Question 1

When a function is equal to -x

Answer 1

There is no solution to this equation, unless the graphs has been flipped.

Question 2

When there is a function in the form:

a|x - b| + c = z

Answer 2

Then, solve the equation to make it equal to

|x - b| = u

Question 3

If you know the domain of one function, how can you find the?

Answer 3

It’s the same

Question 4

What is the range

Answer 4

the y values

Question 5

What is the domain

Answer 5

The x values

Question 6

Domain of a polynomial

Answer 6

All real values

Question 7

Domain of fractions only

Answer 7

Say that the denominator is not equal to 0. Then solve, and say that x can be all real values, but not the solutions.

Question 8

Domains of a square root (any even root)

Answer 8

The things inside the square root >= 0. Then solve.

Question 9

Domains of a square root on the bottom

Answer 9

Set the things inside the bottom square root to be >= 0.

Question 10

Domain of a square root on the top.

Answer 10

Say the top >= 0.

And the bottom =/ 0.

Question 11

Domain of a sin curve

Answer 11

All real numbers

Question 12

Domain of a tan curve

Answer 12

All real numbers, except cos(x) =/ 0.

Question 13

Range of a tan curve

Answer 13

All real numbers

Question 14

Range of a sin curve

Answer 14

-1 =< x <= 1

Question 15

Range of a cos curve

Answer 15

-1 =< x <= 1

Question 16

Range of a tan curve

Answer 16

All real numbers

Question 17

What is 1/ sin θ

Answer 17

cossec θ

Question 18

What is 1/ tan θ

Answer 18

cot θ

Question 19

What is 1/ cos θ

Answer 19

sec θ

Question 20

Domain of arcsin x

Answer 20

-1 =< x <= 1

Question 21

Range of arcsin x

Answer 21

-π/2 =< y =< π/2

Question 22

What types of functions are all quadratic functions that are all real values of x

Answer 22

They are all one - to many. So they can’t have inverses.