91Ó°ÊÓ

Graph the function. Find the zeros of each function and the \(x\) - and \(y\) -intercepts of each graph, if any exist. From the graph, determine the domain and range of each function, list the intervals on which the function is increasing, decreasing or constant, and find the relative and absolute extrema, if they exist. \(f(x)=|x+4|\)

The height of an object dropped from the roof of an eight story building is modeled by \(h(t)=-16 t^{2}+64,0 \leq t \leq 2\). Here, \(h\) is the height of the object off the ground, in feet, \(t\) seconds after the object is dropped. How long before the object hits the ground?

Graph the function. Find the slope, \(y\) -intercept and \(x\) -intercept, if any exist. \(f(x)=3-x\)

Graph the function. Find the zeros of each function and the \(x\) - and \(y\) -intercepts of each graph, if any exist. From the graph, determine the domain and range of each function, list the intervals on which the function is increasing, decreasing or constant, and find the relative and absolute extrema, if they exist. \(f(x)=|4 x|\)

Graph the function. Find the slope, \(y\) -intercept and \(x\) -intercept, if any exist. \(f(x)=0\)

Find all of the points on the line \(y=2 x+1\) which are 4 units from the point (-1,3) .

The Topology Taxi Company charges $$\$ 2.50$$ for the first fifth of a mile and $$\$ 0.45$$ for each additional fifth of a mile. Find a linear function which models the taxi fare \(F\) as a function of the number of miles driven, \(m .\) Interpret the slope of the linear function and find and interpret \(F(0)\)

Solve the quadratic equation for the indicated variable. \(-g t^{2}+v_{0} t+s_{0}=0\) for \(t\) (Assume \(g \neq 0\).)

Write and solve an inequality involving absolute values for the given statement. Find all real numbers \(x\) so that \(x\) is within 4 units of 2 .

A local pizza store offers medium two-topping pizzas delivered for $$\$ 6.00$$ per pizza plus a $$\$ 1.50$$ delivery charge per order. On weekends, the store runs a 'game day' special: if six or more medium two-topping pizzas are ordered, they are $$\$ 5.50$$ each with no delivery charge. Write a piecewise- defined linear function which calculates the cost \(C\) (in dollars) of \(p\) medium two-topping pizzas delivered during a weekend.