**Problem : **
Classify each of the following as a function of *x*, a one-to-one function, or neither:

a) *y* = 2*x*^{4} - 6

b) *y* =

c) *y* = 4*x* + 7

d) *x* = *y*^{2}

a) A function of

Figure %:Passes vertical line test. Classified as a function

Figure %:Fails horizontal line test. Not a one-to-one function

b) Also a function of

Figure %: *y* =

c) A one-to-one function. Passes vertical and horizontal line tests.

Figure %:*y* = 4*x* + 7

d) Not a function of

Figure %:*x* = *y*^{2}

**Problem : **
What is the domain and range of each of the following functions?

a) *y* = 3*sin*(2*x*)

b) *y* =

a) Domain=(- ∞,∞); Range=[- 3, 3]

b) This function can also be expressed as

Figure %:Graph of *y* =

**Problem : **
Let

f (x) | = 4x - 2 | ||

g(x) | = x^{2} |

a) Find

b) Find

a)

b)

**Problem : **
Consider the following piecewise function:

f (x) = |

Find the following:

a)

b)

c)

a)

b)

c)

**Problem : **
Is this function even, odd, or neither?

a) *f* (*x*) = *cos*(*x*)

b) *f* (*x*) = *sin*(*x*)

c) *f* (*x*) = *tan*(*x*)

d) *f* (*x*) = *cos*(*x* + )

a) Even,

b) Odd,

c) Odd,

d) Neither. Shifting

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