The graphs of three functions, f(x), g(x), and h(x) are shown in the figure below. 5- 4 4 3 3. 3- 2. 2 2, 1. 1- "4 -3 -2 -i 0 -1 -3 -2 -1 0 -1 123 3 2 3 -1 -2 -2 -2 3- 3+ 3- -4 -4 -4 5. 5 f(x) g(x) h(x) Which of the following statements about these functions are true? I. The range for all three functions is (-∞, 0). II. Two of the functions have the same y-intercept. III. On the interval [-2, 2], the minimum y-value of h(x) is equal to the minimum y-value of g(x).

Q: The graphs of y = f (x) and y = g(x) are shown. (x)6= -s 3 -2 -1 12 3 4 -3 4 5 valuate f(-2) – g(-3)

A: 1. (a) From the graph of y=f(x) and y=g(x), It can observed that f(-2)=-5 and g(-3)=-4. Hence,…

Q: 1 2 3 Chapter 2 Homework 1- Lea F(x) 2-13 and G(x)=10-x. Find (F-GX-5). 2- La F(x)>x2-5 and…

A:

Q: The one-to-one functions and h are defined as follows g={(-4, 5), (0, 6), (4, 2), (7, 4)} -…

A:

Q: -4 -3 2. 7 6 -5 S 3 2 1 -10 -2 -3 -4 -5 y 3 f(x) = x² − 1 - 4 сл 6 7 g(x) =−x² + 4 8 X 9

A:

Q: 4x2 -36х 7 X -9 What are the zero(s) of the function f(x) = Ox = -9 Ox = 0 Ox = 9 Ox = 0 and x = 9

A: The objective of the question is determine the zero of the given function.And choose the correct…

Q: y 11 10 4 3 -4-3-2-1, 1 2 3 4 5 6 7 8 9 10 11 -2

A: The graph of the functions fx and gx are given by To evaluate: (a) f∘g1  (b) f-g0

Q: The function below has the form f(x) = a · b² + k. %3D 14 Which of the following functions is shown…

A: Functions

Q: Select the choice that is a graph of the function f(z) = - 4- I – 3 (x + 3)(x – 4) 4 -5 2 -3 -5 -2…

A: Given:            x- axis interception points of f(x) : (3,0)    y- axis interception points of f(x)…

Q: The function f and g are defined as follows. A. -3 or f(x)%= In(x+1), x>-1 8(x)=x² +2x , x>-1 B. -3…

A: Solved below

Q: IV. Use the values in the table to evaluate the indicated composition of functions. -1 -3 f(x) g(x)…

A: using the values in the table we need to find the compositions of the function.

Q: Write the function as a composition of two functions. 1 2 y= (x² +8x) ³ - 7(x² +8x)³ +3 x² + 8x) ³…

A:

Q: The one-to-one functions g and h are defined as follows. g= {(0, 4), (1, 6), (3, -9), (4, 1)} h(x) =…

A: We will find out the required value.

Q: The one-to-one functions g and h are defined as follows. g={(-8, -4), (-3, 6), (1, 9), (2, 1)} h(x)…

A: Given, h(x)=3x+13 and h-1(x)=x-133

Q: Sketch the graph of the function. 3 + x if x < -1 f(x) = x2 if -1 ≤ x < 1 .2 - x if x ≥1 у у 3F 3F 2…

A: Step 1: Step 2: Step 3: Step 4:

Q: The one-to-one functions g and h are defined as follows. g={(-4, -2), (2, -4), (4, 2), (7, -6)} h(x)…

A: We will solve the problem

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.