Question

State whether each function is a linear function. Write yes or no. Explain.

1. ( h(x) = 23 )
2. ( y = √x )
3. ( y = mx + b )
4. ( 9 - 5xy = 2 )

a) Yes, No, Yes, No
b) Yes, Yes, Yes, No
c) No, Yes, Yes, No
d) Yes, No, No, Yes

Answer 1

The given functions are not all linear functions. Only the function in the form of y = mx + b is linear.

Step-by-step explanation:

The given functions are:

1. ( h(x) = 23 ) - No, this function is not linear because it is a constant function. It has a vertical line as its graph.
2. ( y = √x ) - No, this function is not linear because it is a square root function. It has a curve as its graph.
3. ( y = mx + b ) - Yes, this is a linear function because it is in the form of y = mx + b, where m and b are constants. It represents a straight line.
4. ( 9 - 5xy = 2 ) - No, this function is not linear because it contains the term xy, which makes it nonlinear. It does not represent a straight line.