Question

Graph the function f(x) = 6 + 8x. Then find the value of f(x) when x = 1/4.

a. f(x) = 8
b. f(x) = 9
c. f(x) = 10
d. f(x) = 12

Answer 1

To graph the function f(x) = 6 + 8x, use the slope-intercept form of a linear equation. To find the value of f(x) when x = 1/4, substitute x = 1/4 into the equation f(x) = 6 + 8x. The value of f(x) when x = 1/4 is 8. Hence the correct answer is option A

Step-by-step explanation:

To graph the function f(x) = 6 + 8x, we can use the slope-intercept form of a linear equation, y = mx + b. Here, m is the slope (8) and b is the y-intercept (6).

So, the graph of the function is a straight line with a slope of 8 and a y-intercept of 6.

To find the value of f(x) when x = 1/4, we substitute x = 1/4 into the equation f(x) = 6 + 8x:

f(1/4) = 6 + 8(1/4) = 6 + 2 = 8.

Therefore, the value of f(x) when x = 1/4 is 8. Answer choice a. f(x) = 8 is correct.

Hence the correct answer is option A