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# Introduction to Relations & Functions Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

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Question 2
2.
Recalling function notation, we want *x* to be *w*. Therefore, if f(x) = (3x + 5) / 2, find f(w).

#### Question 3 3. If f(x) = -2x - 5 and g(x) = x^2 + 1, find f(f(x)).

#### Question 4 4. The least squares method refers to minimizing the sum of squares of which two values?

#### Question 5 5. How is linear regression modeling generally accomplished?

### Page 2

#### Question 6 6. What does the term linear regression refer to?

#### Question 7 7. What is the degree of a quadratic function?

#### Question 8 8. How many solutions can a quadratic equation have maximum?

#### Question 9 9. Which form is used for graphing quadratics?

#### Question 10 10. Evaluate h(x) = 5x + 1, when x=3.

### Page 3

#### Question 11 11. Evaluate f(x) = √(x), when x = 9.

#### Question 12 12. What is the domain of √(x)?

#### Question 13 13. Identify the type of interval (0,2]:

#### Question 14 14. The graph below shows an inequality graphed on a number line. Write an interval representing the inequality shown.

#### Question 15 15. Write the following inequality in interval notation: x > -4.

### Page 4

#### Question 16 16. Which of the following makes an equation a relation rather than a function?

#### Question 17 17. Which of the following is written in function notation?

#### Question 18 18. Which set of ordered pairs is NOT a function?

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Question 19
19.
How can you tell whether a function is a linear function?

A. Graph it and check to see if the graph is a straight line.

B. Check to see if it fits the pattern y = a + bx.

C. Look at the slope and make sure it's always changing.

#### Question 20 20. Describe the slope of a nonlinear function.

### Page 5

#### Question 21 21. The graph of a linear function is…

#### Question 22 22. Absolute values make positive numbers _____ and negative numbers _____.

#### Question 23 23. Evaluate |5 - 3| + 4|3 - 5|

#### Question 24 24. What is correct expression for the absolute value of the following number: 8?

#### Question 25 25. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

### Page 6

#### Question 26 26. Which statistical value do you NOT need to compute the SLOPE of a linear regression line using the least squares method?

#### Question 27 27. Which form is this quadratic in?

#### Question 28 28. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

#### Question 29 29. A highway has a sign which reads 'No vehicles over 26,000 lbs'. Express the interval of all possible vehicle weights allowed on the highway as an interval.

#### Question 30 30. Which graph below is a function?

#### Introduction to Relations & Functions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!