Kendall Murray

2023-03-29

State which of the following are linear functions?

a.

b.

c.

d.

Mareli Blackburn

Beginner2023-03-30Added 8 answers

a. f(x) = 3

This function is a constant function since it is equal to a constant value of 3. It does not have a variable multiplied by x, so it is not a linear function.

b. g(x) = 5 - 2x

This function is linear because it follows the form f(x) = mx + b. In this case, m = -2 and b = 5. Therefore, it is a linear function.

c. h(x) = 2/x + 3

This function is not linear because it contains a variable in the denominator (x). Linear functions do not have variables in the denominator.

d. t(x) = 5(x - 2)

This function is linear because it can be simplified to f(x) = mx + b form. Expanding the expression gives t(x) = 5x - 10, where m = 5 and b = -10. Therefore, it is a linear function.

Answer:

b. g(x) = 5 - 2x

d. t(x) = 5(x - 2)

This function is a constant function since it is equal to a constant value of 3. It does not have a variable multiplied by x, so it is not a linear function.

b. g(x) = 5 - 2x

This function is linear because it follows the form f(x) = mx + b. In this case, m = -2 and b = 5. Therefore, it is a linear function.

c. h(x) = 2/x + 3

This function is not linear because it contains a variable in the denominator (x). Linear functions do not have variables in the denominator.

d. t(x) = 5(x - 2)

This function is linear because it can be simplified to f(x) = mx + b form. Expanding the expression gives t(x) = 5x - 10, where m = 5 and b = -10. Therefore, it is a linear function.

Answer:

b. g(x) = 5 - 2x

d. t(x) = 5(x - 2)

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