91Ó°ÊÓ

Discuss/Explain how it is possible for the domain of a function to be defined for all real numbers, but have a range that is defined on more than one interval. Construct an illustrative example.

Solve each equation for \(y\) and evaluate the result using \(x=-5, x=-2, x=0, x=1,\) and \(x=3\) $$\frac{1}{3} x+\frac{1}{5} y=-1$$

For each graph given, (a) indentify the function family; (b) describe or identify the end behavior, vertex, axis of symmetry, and \(x\) - and \(y\) -intercepts; and (c) determine the domain and range. Assume required features have integer values. $$p(x)=2|x+1|-4$$ (GRAPH CAN'T COPY)

For each graph given, (a) indentify the function family; (b) describe or identify the end behavior, vertex, axis of symmetry, and \(x\) - and \(y\) -intercepts; and (c) determine the domain and range. Assume required features have integer values. $$g(x)=-3|x|+6$$ (GRAPH CAN'T COPY)

Write each equation in slope-intercept form (solve for \(y\) ), then identify the slope and \(y\) -intercept. $$5 x+4 y=20$$

Find the equation of a circle satisfying the conditions given, then sketch its graph. center \((0,0),\) radius 6

For Exercises 41 through 48 , determine the following (answer in interval notation as appropriate): (a) domain and range of the function; (b) zeroes of the function; (c) interval(s) where the function is greater than or equal to zero, or less than or equal to zero; (d) interval(s) where the function is increasing, decreasing, or constant; and (e) location of any local max or min value(s). $$p(x)=(x+3)^{3}+1$$ CAN'T COPY THE GRAPH

Compute and simplify the difference quotient \(f(x+h)-f(x)\) for each function given. $$f(x)=\frac{2}{x}$$

Use the information given to build a linear equation model, then use the equation to respond. Water level: During a long drought, the water level in a local lake decreased at a rate of 3 in. per month. The water level before the drought was 300 in. a. What was the water level after 9 months of drought? b. How many months will it take for the water level to decrease to \(20 \mathrm{ft} ?\)

Earthquake range: The epicenter (point of origin) of a large earthquake was located at map coordinates \((3,7),\) with the quake being felt up to \(12 \mathrm{mi}\) away. (a) Write the equation of the circle that models the range of the earthquake's effect. (b) Use the distance formula to determine if a person living at coordinates (13,1) would have felt the quake.