Find an equation for the graph sketched below f(2) -[ 434

Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: Describe how the graph of each of the following functions can be obtained from the graph of y =…

A: By performing transformations on the graph of a function, many other graphs are obtained. Consider a…

Q: Evaluate the definite integral. + ej+ dt - 1) i - (e" - 1) j +k O e? i+ (e-1-1) j+국k 2.

A:

Q: f'(x) > Ofor 0 4. f"(x)>0 for -1<x<1

A: When f'&gt;0 then function increasing When f'&lt;0 then function decreasing When f''&gt;0 then…

Q: If f(4) = 19, then the point (4, is on the graph of f.

A:

Q: Representing a Function with a Graph Which graph represents the function Ax) = 3(2)7 10 2.

A: Observing from the given graph we have

Q: 2. Determine the roots of the following function and draw its graph f(x)=x^² - x³ - 16x² + 4x +48

A:

Q: Write the equation of the function with h(5) = 12 and h(–3) = –4

A: Introduction: A function is simply an arithmetic object generating an output when an input is…

Q: 7. Plot the graph of the following functions. x-3 a) y = x+2 b) y = (x+2)(10x-30) 5x-15

A: 7) (a) Given function is the following :                  , Noted that curve passes through and  .…

Q: 1. Determine the roots of the following function and draw its graph f(x)=x-13x²+36

A: Given function .We have to find the root of the function.

Q: Use the graphs (see attached) of f and g to find (fg)(2).

A: The graphs of f and g is given. Here, fg2=fg2.

Q: What is the egualion of Hhe line over the intereval (5, ] ? What would the exact value of the…

A: Given Points (-5,-3), (-2,4) through which the required line passes.

Q: Find an equation for the graph sketched below -54-32 f(x) = 8 7- 65 4321 Mo P -5 -6- 629 34

A: Given graph is passing through the points:  x y -1 -3 0 -1 -2 -8

Q: Draw the function of y = x 2 / 3 + x2

A:

Q: Determine the domain and range of y=1/x2-1

A: It is given that y=1x2-1 and we have to find the range and domain of the given function. For Domain…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.