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Quiz

Year 4: Elementary functions

10 questions with solutions for year 4: domain, zeros, even and odd functions, linear functions, inverse functions – review problems.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. Domain of f(x) = (2x + 5)/(x² + 3x − 4):

2. Domain of y = 5 lg(4 − x²):

3. Zeros of y = x⁴ − 2x² + 1:

4. The zero of f(x) = log(2x + 1) is:

5. f(x) = ax + b, f(0) = −2 and f(1) = 0. Then f(x) =

6. The function f(x) = (x² − 1)/(x⁴ + 1) is:

7. The function f(x) = x² − cos x is:

8. The inverse of y = 2/3 − (3/4)x is:

9. The zero of f(x) = (1/2)x + 2 is:

10. f(x) = −2x + 1. For which x are the values less than −5?