Given the functionf(x)f(x)graphed in thexy−xy−plane below, iff(−2.5)=kf(−2.5)=k, then what isf(2k)f(2k)?

The graph of a function f is shown below.Find f0.

The function f is defined by f  x   = 3x + k, where k is a constant. Find the value of k if the graph of f passes through the point (−1, 8).

A function is defined as f(x) =xk , with k > 0 and x ≥ 0.(a) Sketch the graph of y = f(x)

Fill in the blank.The of a function f at x represents the slope of the graph of f at the point (x, f(x)).

The graph of a function f is given in the figure.A curve is shown on the x y coordinate plane. It begins at the point (−2, −1), goes up and to the right, passes through the approximate point (−1, −0.2), and passes through the negative x-axis at the approximate point (−0.8, 0). It then continues up and right, passes through the positive y-axis at the point (0, 1), and reaches a high point at (1, 3). It then goes down and right, passes through the points (2, 2) and (3, 1), and ends at the approximate point (4, 0.5).(a)Find the value of f(1).(b)Estimate the value of f(−1).(c)For what values of x is f(x) = 1? (Enter your answers as a comma-separated list.) (d)Estimate the value of x such that f(x) = 0.x = (e)State the domain and range of f. (Enter your answers in interval notation.)domain range (f)On what interval is f increasing? (Enter your answer using interval notation.)