Final answer:
To graph the function f(x) = 6 + 8x, we plot points on the coordinate plane and draw a straight line connecting them. The value of f(x) when x = 1/4 is 8.
Step-by-step explanation:
To graph the function f(x) = 6 + 8x, we can plot points on the coordinate plane. Let's choose some values for x and calculate the corresponding values for f(x).
When x = 0, f(x) = 6 + 8(0) = 6.
When x = 1, f(x) = 6 + 8(1) = 14.
When x = 2, f(x) = 6 + 8(2) = 22.
Plotting these points on the graph, we can draw a straight line connecting them. The graph of f(x) = 6 + 8x is a straight line with a slope of 8 and y-intercept of 6.
Now, to find the value of f(x) when x = 1/4, substitute x = 1/4 into the function.
f(1/4) = 6 + 8(1/4) = 6 + 2 = 8.
Therefore, the value of f(x) when x = 1/4 is 8, so the answer is (a) 8.