Which function below has the smallest slope? f(x) f(x) = 2x − 3 g(x) graph going through (0, negative 5) and (4, 3) h(x) x h(x) −1 3 1 7 3 11

We have three functions: FIRST. The slope of f(x) is 2 SECOND. g(x) graph going through (0, -5) and (4, 3), so: We can find the slope of g(x) as follows: The slope of g(x) is 2 THIRD. h(x) passes through (-1, 3), (1, 7) and (3, 11) We can find the slope of h(x) as follows: The slope of h(x) is 2 So, it is obvious that the three functions have the same slope 2.

The functions all have the same slope Step-by-step explanation: just took the assessment and I got it right.

The functions all have different slopes

The slope of the other functions can be found by finding ∆y/∆x, the change in function value divided by the change in x value. Slope of g(x) = (3 – (-5))/(4 – 0) = 8/4 = 2. Slope of h(x) = (7 – 3)/(1 – (-1)) = 4/2 = 2. The appropriate choice is The functions all have the same slope