Library Of Functions

Question 1

y=x OR f(x)=x

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 1

Linear Function
Odd
D: (-inf, inf)
R: (-inf, inf)

Question 2

y=x^2 OR f(x)=x^2

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 2

Quadratic function
Even
D: (-inf, inf)
R: [0,inf)

Question 3

y=x^3 OR f(x)=x^3

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 3

Cubic function
Odd
D: (-inf, inf)
R: (-inf, inf)

Question 4

y=b^x, b>1

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 4

Exponential function
Neither
D: (-inf, inf)
R: (0, inf)

Question 5

y=1/x OR f(x)=1/x

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 5

Rational (Inverse) function
Odd
D: (-inf, 0) U (0, inf)
R: (-inf, 0) U (0, inf)

Question 6

y=int(x)=[x]

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 6

Greatest integer function
Neither
D: (-inf, inf)
R: {y: yeZ} (integers)

Question 7

y=|x| OR f(x)=|x|

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 7

Absolute value function
Even
D: (-inf, inf)
R: [0, inf)

Question 8

y=the square root of x

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 8

Radical function
Neither
D: [0, inf)
R: [0, inf)

Question 9

y=the cubic root of x

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 9

Cube root function
Odd
D: (-inf, inf)
R: (-inf, inf)

Question 10

y=logb(x), b>1

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 10

Log function
Neither
D: (0, inf)
R: (-inf, inf)

Question 11

y=1/x^2

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 11

Rational (Inverse Squared) function
Even
D: (-inf, 0) U (0, inf)
R: (0, inf)

Question 12

y=c

Type of function?
Even, odd or neither?
Domain?
Range?

Answer 12

Constant function
Even
D: (-inf, inf)
R: {y: y=c}