6. Graph the function f(x)=log3x. Label three points on the graph (one should be the intercept) with corresponding ordered pairs and label the asymptote with its equation. Write the domain and range of the function in interval notation. Make your graph big enough to see all important features.

During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

Use the Vertical Line Test to determine whether the graph represents y as a function of x.

Graph: f(x)=x .

Sketch the graph of fx=5e0.17x.

The graph of f(x)=10x is reflected about the x-axisand shifted upward 7 units. What is the equation ofthe new function, g(x) ? State its y-intercept, domain,and range.

Why does the horizontal line test tell us whether the graph of a function is one-to-one?

Graph: f(x)=4x.