Assessment Questions

1. Define a function and give an example.
2. Write a linear function with slope 3 and y-intercept -2.
3. Graph the function \( f(x) = -x^2 + 4 \) and identify its vertex.
4. Determine if \( \{(1,2),(2,3),(1,4)\} \) is a function.
5. Given \( C(x) = 5x + 8 \), find the cost for 10 units.
6. Identify the domain and range of \( f(x) = \sqrt{x} \).
7. Create a mapping diagram for \( \{(a,2),(b,3),(c,2)\} \).
8. Explain why \( f(x) = x^3 \) is nonlinear but \( g(x) = 4x + 1 \) is linear.
9. Write a function modeling a phone plan that charges $15 per month plus $0.10 per text.
10. Graph the absolute value function \( h(x) = |x-3| \) and identify its vertex.