The graphs of f(x) = x^2-3x-1 and g(x) = 3+5x-x^2 are shown.Vertical lines are places between f and g between between f and g.a. Find the coordinates of the points of intersections between f and g.b. Find the value of x for which the line between the two functions is the largest. c. Find the length of the longest line.

Question 3 of 10At how many points does the graph of the function below intersect the x-axis?y = 3x2 - 5x + 1

Graphs of f and g are shown.There are two curves on the x y coordinate plane.A curve labeled f enters the top of second quadrant, goes down and right, crosses the negative x-axis and reaches a minimum in third quadrant, then goes up and right and intersects the origin, and reaches a maximum in first quadrant the same distance away from the x and y axes as its minimum was away from them. It then goes down and right, intersects the positive x-axis the same distance away from the origin as it intersected the negative x-axis, and exits the bottom of fourth quadrant, the same distance away from the x and y axes as was its entry point.A curve labeled g is always above the curve labeled f. g enters the top of second quadrant, goes down and right, reaches a minimum in second quadrant, goes up and right, then reaches a local maximum as it crosses the positive y-axis, and goes down and right. Then it reaches a minimum in first quadrant the same distance away from the x and y axes as was its first minimum. It then goes back up and exits the top of first quadrant the same distance away from the x and y axes as was its entry point.Is f even, odd, or neither?evenodd    neitherExplain your reasoning.It is symmetric about the origin.It is symmetric with respect to the y-axis.    It is symmetric with respect to the x-axis.It is not symmetric about the origin or the y-axis.Is g even, odd, or neither?evenodd    neitherExplain your reasoning.It is symmetric about the origin.It is symmetric with respect to the y-axis.    It is symmetric with respect to the x-axis.It is not symmetric about the origin or the y-axis.

1. Suppose that, for x ≥ 0, the curve C has equation y = 3x − x√x.(a) Find the coordinates of the x-intercepts of C.(4 marks)(b) Find the coordinates of the stationary point of C and determine whether it isa maximum, a minimum or a point of inflection.(7 marks)(c) Sketch the curve C.

For the function, locate any absolute extreme points over the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.)g(x) = −3x2 + 14.7x − 16.7, −1 ≤ x ≤ 5

First write the function in vertex form. Then find the function information below. ​(A) Intercepts ​(B) Vertex ​(C) Maximum or minimum ​(D) Range ​g(x)equals0.25 x squared minus 1.5 x minus 8 Question content area bottom Part 1 Choose the correct vertex form below. A.g left parenthesis x right parenthesis equals 0.25 left parenthesis x minus 3 right parenthesis squared minus 8 g left parenthesis x right parenthesis equals 0.25 left parenthesis x minus 3 right parenthesis squared minus 8 B.g left parenthesis x right parenthesis equals 0.25 left parenthesis x minus 0.75 right parenthesis squared minus 8 g left parenthesis x right parenthesis equals 0.25 left parenthesis x minus 0.75 right parenthesis squared minus 8 C.g left parenthesis x right parenthesis equals 0.25 left parenthesis x minus 0.75 right parenthesis squared minus 10.25 g left parenthesis x right parenthesis equals 0.25 left parenthesis x minus 0.75 right parenthesis squared minus 10.25 D.g left parenthesis x right parenthesis equals 0.25 left parenthesis x minus 3 right parenthesis squared minus 10.25 g left parenthesis x right parenthesis equals 0.25 left parenthesis x minus 3 right parenthesis squared minus 10.25