Suppose the point (2, 4) is on the graph of y = f(x). Find a point...
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. The reflection of the graph of y = f(x) across the y-axis O (-2,4) O (2,-4) O (-2,-4) O (2.4)
(1 point) (a) The graph of a function y- f(x) is shifted up 2 units. Find an equation for this shifted function in terms of the function f(x) For example, y = 10/(9x + 8) + 7. help (equations) (b) The graph of the function y 2 is shifted up 2 units. Find an equation for this shifted function. ihelp (equations) (c) The graph of a function y = g(x) is shifted down 5 units. Find an equation for this...
afetee Solve the problem. Suppose that the x-intercepts of the graph of y = f(x) are 7 and 8, What are the x-intercepts of y-3f(x)? O 7 and 8 4 and 5 56 and 24 O 10 and 11
if (-4,2) is a point on the graph of y=f(x), find b such that (3,b) is on the graph of y=f(x-7). If (-4,2) is a point on the graph of y f(x), find b such that (3,b) is on the graph of y f(x-7). bType an integer or a simplified fraction.)
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
2. Suppose the linear approximation of a differentiable function f(x, y, z) at the point (1,2,3) is given by L(x, y, z) = 17+ 6(x – 1) – 4(y – 2) + 5(2 – 3). Suppose furthermore that x, y and z are functions of (s, t), with (x(0,0), y(0,0), z(0,0)) = (1, 2, 3), and the differentials computed at (s, t) = (0,0) are given by dx = 7ds + 10dt, dy = 4ds – 3dt, dz = 2ds...
Given the graph of y=f(x) below, find the value f(1) Given the graph of y = f(x) below, find the value f(1). Сл N 111 -6 -5 -4 -3 -2 -1 2 3 4 5 6 2. 1 1 w -41 - -5 1
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
8) suppose that x-intercepts of the graph of y=f(x) are -5 and 2. a) What are the x-intercepts of the graph of y=f(x-2) ? b) What are the x-intercepts of the graph of y = f(x+3) ? c) What are the x-intercepts of the graph of y--3 f(x)? d) What are the x-intercepts of the graph of y=f(-x) ?