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which is not true about the graph of f(x)= |3x+2|?(A) the range includes all real numbers (B) it includes the point (-3, 7)(C) the domain includes all real numbers(D) the graph is v shaped

User Ivy
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1 Answer

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13 votes

Answer:

(A) the range includes all real numbers

Step-by-step explanation:

Taking into account the function f(x) = | 3x + 2 |, we can say that:

This function includes the point (-3, 7) because when we replace x by -3, we get f(x) = 7, so:

f(x) = |3x + 2|

f(-3) = | 3(-3) + 2 |

f(-3) = | -9 + 2|

f(-3) = | -7 |

f(-3) = -7

On the other hand, the domain includes all real numbers because the domain is the set of values that the variable x can take. Since there are no restrictions for x, x can be any real number,

Finally, the graphs of functions with absolute value are v-shaped, so the graph of f(x) = | 3x + 2 | is v-shaped.

Therefore, the only statement that is false is A. The range includes all real numbers because f(x) can only take positive values.

User Don Law
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