1. The document provides a review of math concepts for a college entrance exam, including functions, trigonometric functions, exponential and logarithmic functions. 2. It reviews concepts like evaluating functions, adding and composing functions, finding roots and intercepts of functions, and properties of trigonometric, exponential and logarithmic functions. 3. The document provides examples and problems to solve related to these various math concepts as a study guide for the exam.

1. FUNCTIONS TIU College Entrance Test Review Math Session 6

2. 1. Evaluate the function for f (-1) if Answers

3. 2. What is the sum h(x) + g(x) if h(x) = 5x – 1 and g(x) = 3x 2 + 6x – 7 ?

4. 3. If F(x)= 2x + 3 and G(x) = 5x – 4, what is the composite function G(F(x))?

9. Which is the correct set of roots of f( x ) ? x = -3, 0 and 5 OR x = -5, 0 and 3

13. 8.b. Graph the function.

16. 9.c. Graph the function. Vertex: (1, 2)

18. RECALL: Pythagorean Theorem a b c If side a = 5 cm. and side c = 13 cm., what is the length of side b? where a and b are the LEGS, and c is the hypotenuse.

21. Trigonometric identities

22. THE UNIT CIRCLE For angle measures greater than 90 deg, we use REFERENCE ANGLES.

23. Reference angles Angle rotation starts from the positive x-axis, then moving counter-clockwise. The reference angle is measured from the x-axis. What is the reference Angle of the ff? 1.) 120 deg = 2.) 225 deg = 3.) 330 deg =

24. UNITS OF ANGLES: DEGREES & RADIANS

26. What are the trigonometric function values of the ff. angles? Angle Sin x Cos x Tan x Csc x Sec x Cot x 240 deg -225 deg -150 deg

30. EXPONENTIAL & LOGARITHMIC FUNCTIONS

33. Another example: Solve for x

35. THE LOGARITHMIC FUNCTION IS THE INVERSE OF THE EXPONENTIAL FUNCTION.

37. p. 132 examples

38. Example of an exponential function & a logarithmic function