For Problems 1 − 34 , graph each of the following linear and quadratic functions. (Objectives 1 and 3) f ( x ) = − 2 x − 4

Q: Expert Answer

To determine To plot: The graph of the given function f ( x ) = − 2 x − 4 . Explanation Given: The given function is, f ( x ) = − 2 x − 4 Approach: A function of the form f ( x ) = a x + b is a linear function. The x coordinate of the point, where the graph intersects x axis, is called x intercept. The y coordinate of the point, where the graph intersects y axis, is called y intercept. For each ordered pair of real numbers there will be a unique point in the rectangular coordinate system. Calculation: The given function is, f ( x ) = − 2 x − 4 …… ( 1 ) Above function is of the form f ( x ) = a x + b . Here, a = − 2 , b = − 4 . Given function is a linear function. Substitute 0 for x in the equation ( 1 ) . f ( 0 ) = − 0 − 4 = − 4 The point ( 0 , − 4 ) is on the graph. Substitute 0 for f ( x ) in the equation ( 1 ) . 0 = − 2 x − 4 x = − 2 The point ( 0 , − 2 ) is on the graph. Substitute 1 for x in equation ( 1 ) . f ( 1 ) = − 2 × 1 − 4 = − 6 The point ( 1 , − 6 ) is on the graph

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Answer 1

BuyFind

Intermediate Algebra

10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Solutions

Chapter

Section

Answer 2

BuyFind

Intermediate Algebra

10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Solutions

Chapter

Section

Answer 3

Solutions

Chapter

Section

Answer 4

Chapter

Section

Answer 5

To determine

To plot:

The graph of the given function f(x)=−2x−4.

Explanation of Solution

Given:

The given function is,

f(x)=−2x−4

Approach:

A function of the form f(x)=ax+b is a linear function.

The x coordinate of the point, where the graph intersects x axis, is called x intercept.

The y coordinate of the point, where the graph intersects y axis, is called y intercept.

For each ordered pair of real numbers there will be a unique point in the rectangular coordinate system.

Calculation:

The given function is,

f(x)=−2x−4……(1)

Above function is of the form f(x)=ax+b.

Here, a=−2,b=−4.

Given function is a linear function.

Substitute 0 for x in the equation (1).

f(0)=−0−4=−4

The point (0,−4) is on the graph.

Substitute 0 for f(x) in the equation (1).

0=−2x−4x=−2

The point (0,−2) is on the graph.

Substitute 1 for x in equation (1).

f(1)=−2×1−4=−6

The point (1,−6) is on the graph

For Problems 1 − 34 , graph each of the following linear and quadratic functions. (Objectives 1 and 3) f ( x ) = − 2 x − 4

Intermediate Algebra

Solutions

Intermediate Algebra

For Problems 1 − 34 , graph each of the following linear and quadratic functions. (Objectives 1 and 3)

f ( x ) = − 2 x − 4

Explanation of Solution

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