2nd Year Mathematics Chapter 1 TestUNIT 1: GRAPHICAL REPRESENTATION OF FUNCTIONS

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. The logarithmic function y=log_a x is continuous for:

   1. All x>0

   2. All real numbers

   3. All negative real numbers

   4. Integers only

2. A sound has an intensity of  and a reference intensity of  Find the sound level in decibels (dB):

   1. 50 dB

   2. 60 dB

   3. 70 dB

   4. 80 dB

3. Which of the following simplifies to sech² x?

   1. 1+tanh²x

   2. 1 - tanh²x

   3. coth²x - 1

   4. cosh x + sinh x

4. The modulus or absolute value of any real number is always:

   1. Strictly negative

   2. Zero only

   3. Non-negative

   4. An integer

5. Functions are generally classified in this unit into which two main categories?

   1. Real and Imaginary

   2. Algebraic and Transcendental

   3. Linear and Quadratic

   4. Shifted and Scaled

6. The graph of a function and its inverse are geometrically symmetric about the line:

   1. y=0

   2. x=0

   3. y=x

   4. y=-x

7. Compound interest is generally classified into how many types?

   1. Three

   2. Two

   3. Four

   4. Five

8. In continuous compound interest, how often is interest added to the principal?

   1. Monthly

   2. Yearly

   3. Continuously at every instant of time

   4. Weekly

9. To determine a quadratic function from its graph using factor form, we must know the x-intercepts and:

   1. The y-intercept only

   2. One additional point on the curve

   3. The vertex only

   4. Two additional points

10. At what value does the graph of y=a(x-h)(x-k) cut the y-axis?

    1. y=h+k

    2. y=ahk

    3. y=0

    4. y=a(h-k)