When using the vertical line test the vertical line can only go through the graph times for it to be a function.

once

Step-by-step explanation:

The vertical line test shows how many outputs (y-value) there are for one input (x-value). There can only one output for each input because only one value should satisfy an equation that represents a function. If the vertical line  goes through the graph twice, that shows there are two outputs for a single x-value. This would mean it is not a function.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

step-by-step explanation: