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Punjab (PTB) · Chapter test · Free

1st Year Mathematics Chapter 2 TestUNIT 2: Functions and Graphs

25 marks · 40 minutes · 16 questions. Covers: UNIT 2: Functions and Graphs.

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1st Year Mathematics Chapter 2 Test

1st Year · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 25Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 5 × 1 = 5)

  1. If f:  is a function such that rang , then f is called a/an ...... function:

    1. Onto

    2. Injective

    3. Bijective

    4. Into

  2. Point of intersection f(x)=2x+5 and g(x)= -x+5 is a point which satisfies:

    1. f(x)

    2. g(x)

    3. Both f(x) and g(x)

    4. None

  3. A bijective function is ......:

    1. Both one-one and onto

    2. One-one but not onto

    3. Onto, but not one-one

    4. Neither one-one nor onto

  4. If a function f:  is such that range f=B then f is called:

    1. Injective

    2. Surjective

    3. Into

    4. Periodle

  5. Graph of quadratic equation will be:

    1. Straight line

    2. Curve

    3. Set of lines

    4. None

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Find the domain and range of .

  2. Given f(x)=x3-2x2+4x-1 find: f(-2)

  3. Given f(x)=x3-2x2+4x-1 find: f(0)

  4. Find the point (s) of intersection of the following function graphically: f(x) =2x-4, g(x)=3x-1

  5. Consider the function f(x)=3x-5. Determine the domain and range of f(x)

  6. Find the point (s) of intersection of the following function graphically: f(x)=3x+4, g(x)=x2+2x-8

  7. Let be defined by : Determine whether f(x) is into.

  8. Find the domain and the range of the function g defined below: g(x)= 5-x

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. A building's height over time is modeled by H(t)=100+20t which is in metres and t is the time in months. The height of a growing tree nearby is given by T(t)=50+10t+t2. (i) At what time will the building and tree have the same height? (ii) What will be the height be?. Sketch the graph of both functions and determine the time when the tree will overtake the height of the building.

  2. Graph the cube root function

  3. A stone falls from a height of 60m on the ground, the height h after x seconds is approximately given by h(x)=40-10x2. when does the stone strike the ground?