In what way did the introduction of steel production methods, such as the Bessemer process, contribute to the growth of the American economy? 

What was a primary factor that contributed to the rapid urbanization in the United States during the late nineteenth century?

What was one of the main reasons for the inability of labor unions to achieve their goals during this period? 

What were the primary “push” factors that prompted African Americans to leave the rural South during the Great Migration? 

What was one significant impact of the rapid expansion of the railroad industry in the United States by 1900?

Below is a graph of the absolute value function, f(x)=x{“version”:”1.1″,”math”:”f(x)=x”}, (the dashed graph), and g(x){“version”:”1.1″,”math”:”g(x)”} (the solid graph) that has been transformed.  a. State the transformations that took place to f(x){“version”:”1.1″,”math”:”f(x)”} b. Find the equation of g(x){“version”:”1.1″,”math”:”g(x)”}

Find the intervals on which the function is decreasing (if any). Round to the nearest integer if necessary.

Give the coordinates of the relative minimum(s), if any. Round to the nearest integer if necessary.

Using the piecewise function: h ( x ) = { 2 x + 1 if  1

Above are two tables of values for two functions, f and g. They both have inverses. Use the tables above to answer the questions below: a. ( f + g ) ( 2 ) {“version”:”1.1″,”math”:”(f+g)(2)”} b.  f g ( 0 ) {“version”:”1.1″,”math”:”\frac{f}{g}(0)”}c.  g − 1 ( 1 ) {“version”:”1.1″,”math”:”g^{-1}(1)”}d.  f − 1 ( 2 ) {“version”:”1.1″,”math”:”f^{-1}(2)”}e.  ( f ∘ g ) ( 0 ) {“version”:”1.1″,”math”:”(f\circ g)(0)”} f.  ( g ∘ f ) ( − 1 ) {“version”:”1.1″,”math”:”(g\circ f)(-1)”}g.  ( f ∘ f ) ( 4 ) {“version”:”1.1″,”math”:”(f\circ f)(4)”} h.  ( f − 1 ∘ f ) ( − 4 ) {“version”:”1.1″,”math”:”(f^{-1}\circ f)(-4)”}