1 s 5 linear functions a use g x x 2 to complete the following parts 1

Question

1. (S 5) Linear Functions
A. Use g(x) = x + 2 to complete the following parts:
1. What is the y-intercept (write as a point)? Explain how to find the y-intercept
algebraically.
2. What is the x-intercept (write as a point)? Explain how to find the x-intercept
algebraically.
3. What is the domain? (use interval notation)
4. Is this linear function increasing or decreasing? Explain how you can tell just by
looking at the equation.
5. Explain how to graph the function. You don't have to graph it (I know Desmos can do
that for you!), I want you to explain how to graph it, using the values given in the
function.
B. If f(x) is a linear function, f(1) = -5 and f(5) = 6, find an equation for f(x).
C. An electrician charges $25 for a service call plus $40 per hour of service. Write an
equation in slope-intercept form for the cost, C, after h hours of service. What will be the
total cost for 3 hours of work?