13. f(x) = 2x² - 12 Find the x-intercepts. Find the y-intercept. Find the vertex. Rewrite...
Find all y-intercepts and x-intercepts of the graph of the function. f(x) = 2x² – 2x² – 32x+32 If there is more than one answer, separate them with commas. Click on "None" if applicable. None ajo y y-intercept(s): 1 DO X $ ? x-intercept(s): 2
200 In Exercises 12 and 13, find (a) domain, (b) x-intercept and y-intercept, (c) lim f(x), lim f(x), lim f(x) or lim f(x) (if possible), where a is point of discontinuity , (d) Interval of increasing and decreasing, (e) interval of concave up and down, (f) show all extreme and inflection points, and (g) sketch the graph. 12. f(x) = 1 13. f(x) = In()
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x + 4x - 6. Show ALL work a) Write the equation in vertex form. b) Suate the vertex -- c) State the axis-of-symmetry. a) Find the intercepts. X-intercept(s): y-intercept(s); 8. Given h(x) = x(x + 2)*(x - 2)? (1) Determine the degree and end behavior. Degree As X- As x 0 (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph...
Sketch the graph of each function. Lebel the vertex, the x-intercepts, the y-intercept, the axis of symmetry, and the range. Round all answers correctly to two decimal places. Calculator required. 8) y = 2r? + 10x + 8 Ay 9) y - 2x + 6x +2 10) y --2x + 10x - 11
Find the x- and y-intercepts. Then graph the equation. y= -1 .Find the x-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept is ?. (Type an ordered pair.) B. The equation has no x-intercept.
Consider the function f(x) = 2x-3x2/3. Which is true regarding the x- and y-intercepts? x-intercept at (0,0) 27 x-intercept at y-intercept at (0,0) All of the above None of the above
Find the vertex and the x-intercepts (if any) of the parabola. (If an answer does not exist, enter DNE.) f(x) = 2x2 - 9x - 5 vertex (x, y) = ( 9/4 ✓ , -121/8 x-intercept (x, y) = ( ) (smaller x-value) x-intercept (x,y) = ( (larger x-value)
Identify the vertex, axis of symmetry, and intercepts for the graph of the function. 6) g(x) = x2-8x + 7 A) Vertex at (4, -9); axis: y = -9; x-intercepts: none; y-intercept: (1,0) B) Vertex at (-4,55); axis: x = -4; x-intercepts: none; }-intercept: (1,0) Vertex at (-4,55); axis: y = 55; x-intercepts: (1, 0) and (7,0); z-intercept: (0,7) D) Vertex at (4, -9); axis: x = 4; x-intercepts: (1,0) and (7,0); p-intercept: 0,7)
Consider the following equation. y2 - x = 36 Find any intercepts. x-intercept (x, y) =( ) y-intercepts (x, y) = ( ) (smaller y-value) (X. ) = ( ) (larger y-value) x-intercept (x, y) (larger y-value) Test for symmetry. (Select all that apply.) The equation is symmetric with respect to the x-axis. U The equation is symmetric with respect to the y-axis. U The equation is symmetric with respect to the origin. None of the above. Sketch the graph...
6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and • f"(x) = 6(x - 3)(x - 2) (a) Use f' to find the intervals where f is increasing, the intervals where f is decreasing, the x- coordinates and nature (max, min or neither) of any local extreme values. (b) Use f" to find the intervals where the graph of f is concave up, the intervals where the graph of f is concave down...