Determine whether the graph of each function is symmetric with respect to the origin. $f(x)=5 x^{2}+6 x+9$

Graph each function and its inverse. $f(x)=|2 x|$

Determine the equations of the vertical and horizontal asymptotes, if any, of each function. $g(x)=\frac{x-1}{(2 x+1)(x-5)}$

Is the statement true or false? Give an explanation for your answer. The family of functions y = a sin x, with a a positive constant, all have the same period.

Yummy Crunch cereal contains vitamins that were put back after their loss during processing. What is this procedure called?

A recycling plant processes used plastic into food or drink containers. The plant processes up to 1200 tons of plastic per week. At least 300 tons must be processed for food containers, while at least 450 tons must be processed for drink containers. The profit is $17.50 per ton for processing food containers and$20 per ton for processing drink containers. What is the profit if the plant maximizes processing?

Find the constant of variation for each relation and use it to write an equation for each statement. Then solve the equation. If y varies inversely as the square of x and y = 9 when x = 2, find y when x = 3.

If f is a function defined by the equation y = f(x), then x is called the _____ variable and y is the _____ variable.

Determine whether the graph of each function is symmetric with respect to the x-axis, y-axis, the line y = x, the line y = -x, or none of these. $x+y^{2}=4$

Find the constant of variation for each relation and use it to write an equation for each statement. Then solve the equation. Suppose y varies jointly as x and z and y = 36 when x = 1.2 and z = 2. Find y when x = 0.4 and z = 3.

Determine whether the ordered pair is a solution for the given inequality. Write yes or no. $y>-\sqrt{x+11}+1,(-2,-1)$

Determine whether the graph of each function is symmetric with respect to the origin. $f(x)=x^{3}-1$

Determine whether each function is continuous at the given x-value. Justify your answer using the continuity test. $y=\left[ \frac{1}{2} x\right]; x=3$

Graph each function and its inverse. $f(x)=|x|+2$