Understanding the Function f(x) = x / (x + 3) + 4

Understanding the Function f(x) = x / (x + 3) + 4

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Hard

Created by

Sophia Harris

FREE Resource

The video tutorial explains how to calculate function values for f(x) = x / (x + 3) + 4. It covers the calculations for f(0), f(3), f(-2), and f(-3), demonstrating how to substitute values into the function and simplify the results. The tutorial highlights that f(-3) is undefined due to division by zero and provides guidance on graphing the function's points.

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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of f(0) for the function f(x) = x / (x + 3) + 4?

4

0

3

7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If f(x) = x / (x + 3) + 4, what ordered pair represents f(0) on the graph?

(0, 3)

(0, 7)

(0, 4)

(0, 0)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of f(3) for the function f(x) = x / (x + 3) + 4?

5.5

4.5

4

5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which ordered pair represents f(3) on the graph of the function f(x) = x / (x + 3) + 4?

(3, 5.5)

(3, 5)

(3, 4.5)

(3, 4)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of f(-2) for the function f(x) = x / (x + 3) + 4?

1

0

3

2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which ordered pair represents f(-2) on the graph of the function f(x) = x / (x + 3) + 4?

(-2, 0)

(-2, 1)

(-2, 2)

(-2, 3)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the function f(x) = x / (x + 3) + 4 when x = -3?

f(-3) = 0

f(-3) = 1

f(-3) = 4

f(-3) is undefined

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the function f(x) = x / (x + 3) + 4, what does 'undefined' mean?

The function equals four

The function cannot be calculated

The function equals one

The function equals zero

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you enter in a homework system if a function value is undefined?

0

1

4

d and e