Chapter 3: Q. 309 (page 327)

In the following exercise, evaluate the function:
$a . f (2) b . f (- 1) c . f (a)$
Function: $f (x) = - 4 x + 2$

Short Answer

Expert verified

a. The value of the function at $x = 2$ is role="math" $- 6 .$

b. The value of the function at $x = - 1$ is $6 .$

c. The value of the function at $x = a$ is $- 4 a + 2 .$

Step by step solution

Step 1. Given Information

The given function is $f (x) = - 4 x + 2 .$

Part (a) Step 1. Evaluating the function at x=2.

To evaluate $f (2)$ , substitute $2$ for $x .$

$f (2) = - 4 (2) + 2 f (2) = - 8 + 2 f (2) = - 6$

Part (b) Step 1. Evaluating the function at x=-1.

To evaluate $f (- 1),$ substitute $- 1$ for $x .$

$f (- 1) = - 4 (- 1) + 2 f (- 1) = 4 + 2 f (- 1) = 6$

Part (c) Step 1. Evaluating the function at x=a.

To evaluate $f (a)$ substitute $a$ for $x .$

$f (a) = - 4 (a) + 2 f (a) = - 4 a + 2$

Step 5. Conclusion

Therefore, we have,

a . f (2) = - 6 b . f (- 1) = 6 c . f (a) = - 4 a + 2

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In the following exercise, evaluate the function:
$a . f (2) b . f (- 1) c . f (a)$
Function: $f (x) = - 4 x + 2$

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Evaluating the function at x=2.

Part (b) Step 1. Evaluating the function at x=-1.

Part (c) Step 1. Evaluating the function at x=a.

Step 5. Conclusion

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In the following exercise, evaluate the function:a.f(2)b.f(-1)c.f(a)Function:f(x)=-4x+2

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Evaluating the function at x=2.

Part (b) Step 1. Evaluating the function at x=-1.

Part (c) Step 1. Evaluating the function at x=a.

Step 5. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

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Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercise, evaluate the function:
$a . f (2) b . f (- 1) c . f (a)$
Function: $f (x) = - 4 x + 2$