Graph Linear Functions Worksheet

**Page 12**

111.

If the function $f$($x$) = - 15$x$ - 10, then what is the value of $f$($\frac{-1}{3}$ )?

a. | -10 | ||

b. | -5 | ||

c. | None of the above |

[Original equation.]

[Substitute

[Simplify.]

So,

Correct answer : (3)

112.

Identify the function the graph represents.

a. | Quadratic function | ||

b. | Non-linear function | ||

c. | Linear function | ||

d. | None of the above |

The general equation for the graph is

So, the line in the graph represents a linear function.

Correct answer : (3)

113.

Which of the following is a linear function?

a. | $y$ = $\frac{1}{\mathrm{x}}$ + 3 | ||

b. | $y$ = 3$x$ + 2 | ||

c. | $y$ = 3$x$ ^{2} | ||

d. | $y$ = 3$x$ ^{2} + 3 |

In the choices

[

So, the function in choice B is a linear function.

Correct answer : (2)

114.

What function does the equation $f$($x$) = - $x$ + 5 represent?

a. | Linear function | ||

b. | Quadratic function | ||

c. | Non-linear function |

[Original equation.]

The equation is in the form of

[

So, the equation represents a linear function.

[An equation in the form of

Correct answer : (1)

115.

Which of the following is a linear function?

a. | $y$ = $\frac{1}{\mathrm{x}}$ | ||

b. | $y$ = $x$ + 9 | ||

c. | $y$ = $x$ ^{2} + $\frac{1}{5}$ | ||

d. | $y$ = ($x$ + 3) ^{3} |

This can also be written as

Consider the choice B,

The equation is in the form of

So, choice B is a linear function.

Correct answer : (2)

116.

Which of the following is not a linear function?

a. | $f$($x$) = -$x$ | ||

b. | $f$($x$) = $x$ + 3 | ||

c. | $f$($x$) = √$x$ + 3 | ||

d. | None of the above |

[In a linear function, the exponent of

Among the choices

[The exponent of

So, the equation in choice C is not a linear function.

Correct answer : (3)

117.

Which of the following is a linear function?

a. | $y$ ^{2} = $\frac{1}{\mathrm{x}}$ + 2 | ||

b. | $y$ = 2($x$ - 4) + 10 | ||

c. | $y$ = $x$ ^{2} - 4 | ||

d. | $y$ = $x$ ^{3} + 2 |

In the choices

[Original equation.]

[

So, the function in choice B is a linear function.

Correct answer : (2)

118.

Which of the graphs best suits the function rule $y$ = $x$ + 2?

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 3 | ||

d. | Graph 4 |

[Original equation.]

[Substitute - 2 for

= 0

[Simplify.]

[Substitute - 1 for

= 1

[Simplify.]

[Substitute 0 for

[Simplify.]

Graph 4 satisfies the function rule.

Correct answer : (4)

119.

Which of the graphs best suits the equation $y$ = - $x$?

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 3 | ||

d. | Graph 4 |

[Original equation.]

[Substitute

[Substitue

[Substitue x = 0.]

[Substitue

[Substitue

Among the choices, Graph 1 satisifes the condition.

Correct answer : (1)

120.

If $f$($x$) = 0.24($x$ + 2) + $x$ - 0.3, then find the value of $f$(2) and $f$(3).

a. | 6.66, 6.10 | ||

b. | 1.66, 4.10 | ||

c. | 2.66, 3.90 | ||

d. | 4.66, 5.10 |

[Orginal equation.]

[Substitue 2 for

= 2.66

[Simplify.]

[Substitue 3 for

= 3.90

[Simplify.]

So,

Correct answer : (3)