Answer:Please check the explanation.Step-by-step explanation:Question 1)Input, x Output, y0 01 42 83 12It is clear that the values of input 'x' and output 'y' are changing in constant proportions. It means the rate of change must be constant. Thus, this represents a linear function.Finding the slope between (0, 0) and (1, 2) slope = m = y₂-y₁ / x₂-x₁ = (2-0) / (1-0) = 2 / 1 = 2Thus, the slope = m = 2We know that the y-intercept can be obtained by setting x = 0 and solving for y.It is clear at x = 0, y = 0Thus, the y-intercept b = 0We know that the slope-intercept form of linear equation y = mx+bsubstitute m = 2 and b = 0y = 2x + 0y = 2xThus, the equation that describes the equation is:y = 2xQuestion 2)The output is eleven more than the input.As 'y' represents the output.'x' represents the input.soy = x+11Question 3)The output is the cube of the input.As 'y' represents the output.'x' represents the input.soy = x³Question 4)The output is one more than twice the input.As 'y' represents the output.'x' represents the input.soy = 2x+1Question 5)y = 7xsubstitute x = -5y = 7(-5)y = -35