TSI 0320 Texas Tech University Determine Whether Relation Is a Function Questions

TSI 0320Name:
Quiz 2
Answer each question completely. You MUST show work to receive credit. Please circle or box your final answer.
1. State domain and range of the relation ((2, 1), (a, b), (3, 7.5), (.33, .66))
2. Determine whether relation is a function ((1, 2), (5, 3), (6, 7), (6, 9))
3. Determine the information based on the graph:
Part a.
Domain:
Range:
Part b.
Find f (−1) and f (x) = 4
Is f (1) positive or negative?
1
5. Composition of functions:
f (x) = 2x − 3 and g(x) = 3×2 + 1
Find:
f (g(x))
f (g(1))
6. Composition of functions:
f (x) = 5x − 6
Find:
f (f (x))
f (f (0))
7. Inverse functions:
Find inverse function of f (x) = x3 + 5
8. Inverse functions:
√
Find inverse function of g(x) = 3x − 7
9. Graph quadratic function by plotting points:
f (x) = x2 − 2x − 3
Part a.
Find vertex, x-int, y-int:
2
Part b.
Plot the graph from above:
11. Evaluate function h(x) = 2×2 − 2x + 5(x − 2):
h(2)
12. Evaluate function k(x) =
k(3)
√
( 3x−5+3)
:
x2 −4
3