Review Problems

1. Identify the domain and range of \( f(x) = x^2 - 5 \).
2. Write the linear function with slope -2 and y-intercept 4.
3. Graph the function \( g(x) = |x-3| \).
4. Determine if the relation \( \{(1,2),(2,2),(3,2),(1,3)\} \) is a function.
5. A taxi charges $4 plus $1.5 per mile. Write the function for total cost and find the cost for 8 miles.
6. Graph the quadratic function \( h(x) = -x^2 + 6x - 5 \) and identify its vertex.
7. Given the function \( f(x) = 3x + 1 \), find \( f(4) \) and \( f(-2) \).
8. Determine whether \( k(x) = x^3 - 2x \) is linear or nonlinear.
9. Draw a mapping diagram for \( \{(a,1),(b,2),(c,1)\} \).
10. Explain a real-life scenario modeled by the function \( C(x) = 5x + 10 \).