3. Functions

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

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

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

Determine whether each function is even, odd, or neither. ƒ(x)=-x³+2x

Determine whether each function is even, odd, or neither. ƒ(x)=x⁵-2x³

Determine whether each function is even, odd, or neither. ƒ(x)=0.5x⁴-2x²+6

Determine whether each function is even, odd, or neither. ƒ(x)=x⁴-5x+8

Determine whether each function is even, odd, or neither. ƒ(x)=x+1/x⁵

Determine whether each function is even, odd, or neither. ƒ(x)=x⁴+4/x²

Determine whether each equation defines y as a function of x. x = (1/3)(y²)

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

Let ƒ(x) = -2x² + 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 = x² - 4

Use 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. 2x+3y=5