2. The graph of g(x) = In (x² + 1) is shown below. (12) d² (x,x) 2 What is the shortest possible distance between the graph of g(x) and

Q: Q1) Graph the following: a(x -)- 1) g(x) = -sin + 3

A: g(x) = -sin(x-π/2)

Q: 1 Let f(r) = (r – 1)?, g(x) = 1– r², h(r) = 2(x+ 3)2 – 8, find for each function a) r- and y-…

A: Given :           fx=x-12gx=1-x2hx=2x+32-8

Q: ) For what value of x the function is not defined? e) Evaluate: g(5) – g(-3) n Describe the graphs…

A: This question is related to function, we will solve it using given information.

Q: 1. Find all values of x where a) f(x) = 0, b) f(x) > 0, and c) f(x) 0 when c)f (x) <0 when

A:

Q: For the Cubing Function f(x)=x³ describe how the graph is transformed by these equations. (a)…

A: The given original function is fx=x3. The transformed functions are, a) fx=14x3+7 b) fx=-x+53 c)…

Q: 2. Given the graphs of f(x) and g(x) as shown, find: ✓✓✓✓ a) f(g(0)) b) f(g(2)) 4 N -20 -2- 8 -4 4…

A:

Q: Sketch the graphs and find the point of intersection between these two graphs f(t) = 0,73t³ - 2t² +…

A: We will sketch the graph of f(t) and g(t).

Q: 3.Sketch the graph of a.f(x,y)=6 b.f(x,y)=6-x c.f(x,y)=6-x-2y d.f(x,y)=6-x^2 f(x,y)=x²y+√y

A: Here we have given a function: f(x,y)=x2y+y Now, to graph the equation f(x,y) = 6, we can set the…

Q: a) f(x) is a quadratic function. The graph f(x) decreases on the interval (-∞, -2) and increases on…

A: There is given a arbitrary quadratic function f(x) which is decreasing on (-∞,-2) and increasing on…

Q: Let f(x)= 1/4x-9 (d) Graph y = f(x), y = f −1(x), and y = x on the same set of axes. (Note that the…

A: We have to graph the function and it's inverse along with y=x, on the same set of axes.Given…

Q: 8) (a) The diagram is a sketch of y = f(x). y 1 Draw separate one third page sketches of the graphs…

A:

Q: 2 Determine a quadratic function f(x) f(x) = ax² + bx+ C in standard form, if its graph passes…

A: The objective of this question is to find the coefficients a, b, and c of the quadratic function…

Q: 1) Given the graph y = f(x), 7Y y=f(x) 56- (a) For what x values is f(x) = 0. 42- 28- 14- (b) For…

A: a) f(x) = 0 for x =-5 , -2, 0, 3

Q: 3. Sketch the graph, using limits, of y= 3x (x-4)(x+2) Be sure to show all work and your coordinate…

A: The given function is

Q: . What are the values of x for which the graph of y = x³ – 9x2 is concave down? (A) x > 0 (B) x 3…

A:

Q: 5. The graph of the function f(x) is shown on the grid below. The function g is defined by the…

A: g(x)=f(x+3)-1 Meas shift the graph of f(x) 3 unit left for f(x+3) and 1 unit down for f(x+3)-1 (b)…

Q: Identify the y-intercept of the graph of 6(x - 1) R(x) = (x + 1) (x + 2)* (а) -3 (b) -2 (с) —1 (d) 1

A: To identify: The y-intercept of the graph R(x)=6x-1x+1x+2. Concept used: The y-intercept is the…

Q: The percentage of female high school graduates who enrolled in college is given in the table below.…

A: Let x represent time(in years) since 1970, and let y represent the corresponding percentage of…

Q: 1) Sketch the graph of f (x) = 3x3 – 9x² and determine all its significant features.

A:

Q: F(x) = X2- 2X - 9 Find the vertex form aka f(x) = a(x-h)2 + k

A: Consider the given function,

Q: 3. What is the vertex of g (x) = x² + 5 ?

A:

Q: 4) Graph the function f(x) = x² and g(x) x² + 7

A: Graph.

Q: Solve the following: also pls show me the graph

A: Given: f(x)=5x2−20x3…

Q: (a) The graph of f(x) = (x + 42) can be obtained from shifting the graph of f(z) = to the %3D 42…

A: here we have graphical transformations.

Q: Let A = {1, 2,...,: 10}. Find the closure and the interior of A in the following topo- logical…

A: In mathematics, topology is the study of the properties of spaces that are preserved under…

Q: Sketch the graphs f(t) = 0,73t³ —2t² +0,6-and-g(t) = 0,17² - 0, 5t + 1. 1·¶ T

A: To sketch the graphs for given curves.

Q: 5. Use the graph of y = f(x) below to answer parts a and b. If an answer does not exist, write DNE…

A: We need to find out the answer of part 5).

Q: 2. Let f: R → R be the quadratic function defined by f(x) = 3x² - 12x + 15. i) Vertex and Axis of…

A:

Q: The point (3, 20) is on the graph of y = f(x). a) A point on the graph of y = g(x), where g(x) =…

A:

Q: 11. Let q(x) = 2x² - 8x+7 (a) Write q(x) in vertex form. (b) Sketch the graph of g(x). (c) Solve…

A: