Question

f (x) is the vertical distance in meters traveled by a test rocket in x seconds. determine the slope f represents... what are they asking?? help please.

Answer 1

is this calculus or geometry ?
is there more background on the question you left out ?

Answer 2

calculus

Answer 3

that's all there is. word for word

Answer 4

The slope f represents velocity. f(x): distance as a function of time, i.e. distance / time = velocity.

Answer 5

it is ambiguous to me... but if we say
y= f(x)

then you could say the slope of the curve at point x is f'(x) = dy/dx

Answer 6

To put it simply: any graph is a function = f(x) [f = function, of (x)] of one variable. To say, y is a function of x. Meaning the values of y (dependent variable) are derived from the values of x (independent variable).

"f (x) is the vertical distance in meters traveled by a test rocket in x seconds. "
This statement assumes that f(x), which is vertical distance, is DEPENDENT on time (x seconds). Hence, you would have the y-axis as distance, and x-axis as time.

Assuming a line bounded by these two axis, and the gradient / slope of this line is determined by taking dy (change in y) / dx (change in x).

Which goes to say: y / x = distance / time = velocity.