Which of the following is the linear parent function?

Mathematics

2 answers:

AlexFokin [52]3 years ago

7 0

Answer:

A linear parent function is the equation y = x or f(x) = x. A parent function is the simplest equation of a function. Thus, f(x) = x is the simplest of all linear functions and that is the reason why it is called linear parent function

labwork [276]3 years ago

6 0

Answer:

F(x) = x

Step-by-step explanation:

A line is of the form

x to the first power

1/x is not x to the first power and makes a curve

|x| makes a v shape

x^3 is a curve

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Deffense [45]

Correct answer is option D.

The solution is listed below

$F(x)=4x+7 \\ \\ 
y=4x+7 \\ \\ 
y-7=4x \\ \\ 
 \frac{y-7}{4}=x \\ \\ 
 x= \frac{y-7}{4} \\ \\ 
f-^{1}(y) = \frac{y-7}{4} \\ \\ 
f-^{1}(x) = \frac{x-7}{4} \\ \\ 
$