3. Functions

Let ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(a+4)

Let ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(2m-3)

For each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(2,5),(3,9),(-1,11),(5,3)}

For each function, find (a) ƒ(2) and (b) ƒ(-1).See Example 7. ƒ = {(-1,3),(4,7),(0,6),(2,2)}

An equation that defines y as a function of x is given. (b) Find ƒ(3). x-4y=8

An equation that defines y as a function of x is given. (b) Find ƒ(3). y+2x^2=3-x

Find the value of the function for the given value of x. See Example 3. ƒ(x)=[[0.5x]], for x=7

Find the value of the function for the given value of x. See Example 3. ƒ(x)=-[[-x]], for x=2.5

Find the value of the function for the given value of x. See Example 3. ƒ(x)=2-[[-x]], for x=3.7

Find the value of the function for the given value of x. See Example 3. ƒ(x)=[[x/4]], for x=7

Find the value of the function for the given value of x. See Example 3. ƒ(x)=[[3-(x/2)]], for x=1

Find the value of the function for the given value of x. See Example 3. ƒ(x)=[[x]], for x=-√2

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=-x^3+2x

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^5-2x^3

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=0.5x^4-2x^2+6