Consider the function 𝑓(𝑥)=𝑥4−4⋅𝑥2. Find the relevant curve sketching information and then select the correct graph from the list below.𝑥-intercepts: {−2,2} Enter your answers inside curly brackets, e.g. {1,2}𝑦-intercept: 0Relative minima: [𝑥,𝑦]= Enter your answer as an ordered pair inside square brackets, e.g. [1,2]. If there is more than one relative minimum, enter your answers inside curly brackets, e.g. {[1,2],[3,4]}.Relative maxima: [𝑥,𝑦]= Enter your answer as an ordered pair inside square brackets, e.g. [1,2]. If there is more than one relative maximum, enter your answers inside curly brackets

Consider the function 𝑓(𝑥)=𝑥3−6⋅𝑥2. Find the relevant curve sketching information and then select the correct graph from the list below.

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.)

Use the graph to state the absolute and local maximum and minimum values of the function. (Assume each point lies on the gridlines. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)A function with two curves, three closed points, and three open points is graphed on the x y coordinate plane. The first curve begins at the closed point (0, 2) increases to the open point (1, 4) decreases to (2, 2) increases to (4, 5) decreases to (5, 3) then turns sharply and increases to the closed point (6, 4). The second curve begins at the open point (6, 3) and decreases to the open point (7, 1). The closed point (1, 3) is graphed.absolute maximum value 5 absolute minimum value 2 local maximum value(s) 5 local minimum value(s) 2,3

​The function 𝑓 is defined by 𝑓⁡(𝑥)=𝑎⁢sin⁡(𝑏⁢(𝑥+𝑐)+𝑑), for constants 𝑎, 𝑏, 𝑐, and 𝑑. In the 𝑥⁢𝑦-plane, the points (2,2) and (4,4) represent a minimum value and a maximum value, respectively, on the graph of 𝑓. What are the values of 𝑎 and 𝑑 ?

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.