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Zachary is standing in a stadium and has the option of running up a staircase or down a staircase for exercise.

The function f(x)= 1/25(∣4x∣+2x) will determine how many calories Zachary will burn if he runs up x steps. Use a negative value for x if he runs down the stairs. What does the domain represent in this function?

Respuesta :

lublana

Answer:

R(All real numbers)

Step-by-step explanation:

We are given that the calories burn in x steps of running is given by

[tex]f(x)=\frac{1}{25}(|4x|+2x)[/tex]

We have to find the domain of this function.

We know that

|x|=[tex]x, x\geq 0[/tex]

    -x, x<0

Therefore, the function

[tex]f(x)=\frac{1}{25}(4x+2x) ,x\geq 0[/tex]

             [tex]\frac{1}{25}(-4x+2x) ,x<0[/tex]

[tex]f(x)=\frac{1}{25}(6x), x\geq 0[/tex]    

            [tex]\frac{1}{25}(-2x), x<0[/tex]

The function is defined for all values of x.

Therefore, the domain of f(x)=All real numbers (R)

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