12 Basic Functions Worksheet

**Page 1**

1.

Select the graph of the function $y$ = 1 - sin $x$.

a. | Graph A | ||

b. | Graph B | ||

c. | Graph C | ||

d. | None of the above |

The graph of the function

Hence, Graph A represents the graph of the function

Correct answer : (1)

2.

Find the minimum value of the function $y$ = ($x$ - 7)^{2} .

a. | -7 | ||

b. | 7 | ||

c. | 1 |

(

[Square term is always non negative.]

So, the minimum value of (

Correct answer : (3)

3.

Which is the graph of the function $y$ = - 3$x$?

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 3 | ||

d. | Graph 4 |

Hence, Graph 3 is the correct choice.

Correct answer : (3)

4.

Select the graph of the function $y$ = |$x$| + 1.

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 3 | ||

d. | Graph 4 |

For all

Hence, Graph 2 is the correct choice.

Correct answer : (2)

5.

Which of the following graphs represents the graph of an even function?

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 3 | ||

d. | All of the above |

From the given graphs, all of them are symmetric with respect to

Correct answer : (4)

6.

Choose the graph of the function $y$ = |$x$| + 2.

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 3 | ||

d. | None of the above |

Hence, Graph 1 is the correct choice.

Correct answer : (1)

7.

Choose the graph of the function $y$ = ($x$ - 2)^{2}.

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 3 | ||

d. | None of the above |

Hence, Graph 2 is the correct choice.

Correct answer : (2)

8.

Which of the following graphs of basic functions are bounded both above and below?

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 3 | ||

d. | None of the above |

[Definition for boundedness.]

For Graph 1:

The graph of the function has two horizontal asymptotes, the

For Graph 2:

The graph of the function

For Graph 3:

The graph of

Correct answer : (1)

9.

Which of the following graphs represents an identity function?

a. | Graph A | ||

b. | Graph B | ||

c. | Graph C | ||

d. | None of the above |

[Definition of Identity function.]

From the given graphs, Graph B represents the identity function

Correct answer : (2)

10.

Select the graph of the function $y$ = - cos $x$.

a. | Graph A | ||

b. | Graph B | ||

c. | Graph C | ||

d. | None of the above |

Hence, Graph B represents the graph of the function

Correct answer : (2)