Math, asked by jheanfrancisco298, 4 months ago

Determine whether each given is a linear function or not check Yes, if it is linear
Function and No it is not.write the degree of the function foe linear function,for linear equations identify the slope m and the y intercept b

f(×)= -6× -7
f(×)=3×
f(×)= -4
f(×)= 5× -3
f(x)=2(×-3)
f(×)= -(×+5)
f(×)= -4ײ
f(×)=10ײ+7×
f(×)=3ײ-5×+1​

Answers

Answered by akhotcool
63

Step-by-step explanation:

Functions which have highest power 1 are linear.

Im answering in the same order as the question,

linear;  m = -6; y = -7

linear; m = 3; y = 0

linear; m = 0; y = 0

linear; m = 5; y = -3

linear; m = 2; y = -6

linear; m = -1; y = -5

non linear; m = - 8; y = 0

non linear; m = 20; y = 7

non linear; m = 6; y = -5

Answered by SushmitaAhluwalia
26

Given: A few functions which are as follows:-

f(×)= -6× -7

f(×)=3×

f(×)= -4

f(×)= 5× -3

f(x)=2(×-3)

f(×)= -(×+5)

f(×)= -4ײ

f(×)=10ײ+7×

f(×)=3ײ-5×+1​

To find: Whether the functions are linear or not. If yes, its slope m and y intercept b, and if no then the degree of the function.

Solution: A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

The given functions have been classified as linear and non-linear:

f(×)= -6× -7 [linear, m = -6, b = -7]

f(×)=3× [linear, m =3, b = 0]

f(×)= -4 [linear, m = 0, b = -4]

f(×)= 5× -3 [linear, m = 5, b = -3]

f(x)=2(×-3) [linear, m = 2, b = -6]

f(×)= -(×+5) [linear, m = -1, b = -5]

f(×)= -4ײ [non-linear, degree = 2]

f(×)=10ײ+7× [non-linear, degree = 2]

f(×)=3ײ-5×+1​ [non-linear, degree = 2]

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