No, f(x) = x + x^5 in not linear.
No, f(x) = x + x^5 in not linear.
Only if it's a function.
No, it is not.
If you mean: y = 2x+5 then yes it is a linear function of straight line
The expression ( f(x) = x^5 ) is not a linear function. Linear functions have the general form ( f(x) = mx + b ), where ( m ) and ( b ) are constants, and the highest power of ( x ) is 1. Since ( x^5 ) has a highest power of 5, it is classified as a polynomial function of degree 5, not a linear function.
No.
The linear equation x=5 or any other number is a vertical line. There are more than one possible answer for y. Therefore it is not a function.
It is a linear equation in x. It has a solution, which is x = -5
It is a linear equation in x. The equation has the solution x = 0.
If you mean: y = 2x+5 then it is a straight line equation.
To accurately compare the function shown on the graph with the function ( y = 5x + 5 ), one would need to analyze the graph's slope and y-intercept. If the graph has a slope of 5 and a y-intercept of 5, then it is identical to the function ( y = 5x + 5 ). If either the slope or the y-intercept differs, then the graph represents a different linear function. Without seeing the specific graph, it's impossible to make a definitive comparison.
The equation that represents a linear function is A) ( y = -x + 9 ) and D) ( y = x - 9 ). Linear functions can be expressed in the form ( y = mx + b ), where ( m ) and ( b ) are constants. Options B) and C) represent quadratic and cubic functions, respectively, due to the presence of ( x^2 ) and ( x^3 ).