3. Functions

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

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4-5x+8

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x+1/x^5

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

Determine whether each equation defines y as a function of x. x = (1/3)(y^2)

Determine whether each equation defines y as a function of x. y = ±√(x-2)

Let ƒ(x) = -2x^2 + 3x -6. Find each of the following. ƒ(-0.5)

Determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. 5y^2 + 5x^2 =30

Consider the following nonlinear system. Work Exercises 75 –80 in order.y = | x - 1 |y = x^2 - 4Use the definition of absolute value to write y = | x - 1 | as a piecewise-defined function.

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 7 and 8. 2x+3y=5

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. See Examples 7 and 8. y=-x^2