Understand Function
Complete the following problems. Be sure to show all work.
- Evaluate each function at the given values and simplify.
- Determine whether the following sets of ordered pairs represent a function.
- Find and simplify the difference quotient.
- Use the vertical line test to determine if y is a function of x.
- Determine the domain and range of the function. Write the answer in interval notation.
- Find the slope of the line passing through the given points.
- Given the slope and a point, find the equation of the line. Write your final answer in slope-intercept form.
- Find the slope, x-intercept, and y-intercept of the following linear functions. Use the information to sketch the corresponding graph.
- ; find , , and
- find ; , and
- ; find , , and
- (2, 4) and (–1, 10)
- (3, 5) and (–1, 0)
- m = 2, (–3, 4)
- m = ,(1, 7)
- m is undefined, (2, 3)
- y = 4x – 5
- 4x + 2y = 6
- 3x – 2y + 11 = 0
