Sketch the linear function f(x) = 1 4 (3x + 2) − 4x. which key feature of the graph is true?

Your first step is to simplify your equation so that there is only one variable and one term in your linear function.

f(x) = 14(3x+2) - 4x

f(x) = 42x + 28 - 4x

f(x) = 42x - 4x + 28

f(x) = 38x + 28

I'm guessing you entered the equation wrong because that would be a very, very steep line and you'd probably run out of space in the graph if it's on paper. Start at coordinate (0, 28), place a point. This is your y-intercept. Then count up 38 units on the y-axis and then to the right 1 unit on the x-axis in order to graph that.

If your equation is f(x) = 4(3x + 2) - 4x, that one is more manageable. You do the same steps, just simplify.

f(x) = 4(3x + 2) - 4x

f(x) = 12x + 8 - 4x

f(x) = 12x - 4x + 8

f(x) = 8x + 8

For this, you would place a point at coordinate (0, 8), again y-intercept; from there count 8 units up, 1 unit right and place another point; go back to (0, 8), count 8 units down, 1 left and place a point; connect all three dots and there's your line.