Question

Which equations represent linear functions?

f(x) = 10x + 10
k(x)=10/x
m(x)=10
h(x)=1/10x
g(x)=10^x
j(x)=10x^2+10

Answer 1

The equations that represent linear functions are:

f(x) = 10x + 10
m(x) = 10
The equation k(x) = 10/x is not linear because it involves an inverse function. The equation h(x) = 1/10x is not linear because it involves a fraction. The equation g(x) = 10^x is not linear because it involves an exponent. The equation j(x) = 10x^2 + 10 is not linear because it involves a quadratic term.

Answer 2

The only equation that represents a linear function is f(x) = 10x + 10.

A linear function is a function of the form f(x) = mx + b, where m and b are real numbers. The graph of a linear function is a straight line.

f(x) = 10x + 10 is a linear function because it can be written in the form f(x) = mx + b, where m = 10 and b = 10.

k(x)=10/x is not a linear function because it is not of the form f(x) = mx + b.

m(x)=10 is not a linear function because it is not of the form f(x) = mx + b.

h(x)=1/10x is not a linear function because it is not of the form f(x) = mx + b.

g(x)=10^x is not a linear function because it is not of the form f(x) = mx + b.

j(x)=10x^2+10 is not a linear function because it is not of the form f(x) = mx + b.

Therefore, the only equation that represents a linear function is f(x) = 10x + 10.