The graph of a linear function f is shown to the right. (a) Identify the slope, y-intercept, and x-intercept. (b) Write the equation that defines f.

Q: Use the graph of f(x) = x2 to write an equation for the function represented by (a) y -2 -2

A:

Q: Determine whether the equation x2 + y2 = 1 defines y as a function of x.

A: The given equation is x2+y2=1. This implies that,

Q: Find the slope of the graph of the function at the given point.

A: We have the given function as fx=27x3            ⋯⋯1 In order to find the slope of the given…

Q: Determine whether the equation defines y as a function of x : x2 + y2 = 16

A: Therefore for each value of x, there exist two different values of y.

Q: Find the slope of the graph of the function f(x)=(-5x – 4)² at x = 3. a. f'(x)=-38 b. f'(x)=95 c.…

A: We need to find the slope of given function at x=3

Q: tes, a submarine had descended to −400 feet. After 7 minutes, the submarine had descended to −440…

A: It is given that,  After 3 minutes, a submarine had descended to −400 feet.  Let point A(3.-400)…

Q: Sketch the graph of the function given. (a) f(x) = x3     (b) g(x) = |x3|

A: Given: a fx=x3b gx=x3

Q: Determine whether the equation y = -√(x + 4) defines y as a function of x.

A:

Q: Which functions have the property that the slope always increases as x increases?

A: There are various types of functions like Increasing Functions, Decreasing Functions, Constant…

Q: What is the slope of the graph of f (x) when x = 1?

A: Given: Function f(x).

Q: Determine whether the equation y = 2x - 5 defines y as a function of x.

A: y=2x-5

Q: Give an example of a linear function, and sketch its graph.

A: given: the function is linear function.

Q: Use the graph of f(x) = x3 to write an equation for the function

A: the graph f(x) reflected over the y-axis and then moved 2 units left and 2 units down.  So new…

Q: determine whether the equation defines y as a function of x.   x + y2 = 1

A: Given- x+y2=1 To determine- whether the equation defines y as a function of x

Q: Find the slope of the graph of the function at the given point.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: What is the function of this graph? y=_____x

A: Given: To Find: The function of the given graph.

Q: Determine whether the equation defines y as a function of x : x2 + y2 = 25

A: The given equation is x2+y2=25 To determine whether the equation defined y as a function of x, Apply…

Q: Estimate the slope of the function (x) at x = -1 using the graph below.

A: Given function is passing through (-1,-1) and (0,-1) and function f(x) has two points at which…

Q: Define the graph of the function f(x) = x^2?

A: fx=x2 x f(x) 0 0 1 1 2 4 -1 1 -2 4

Q: Find the slope of the graph of the function at the given point.

A:

Q: Find the slope of the graph of the function at a given value. f(x) = -3x2 + 8x - 6/x2 when x = 5.

A:

Q: Find the slope of the graph of the function at the given point.                       f(x) = √(1 −…

A:

Q: Which equation matches the graph of the piecewise function f(x) below?

A: Given,

Q: Find the slope of the graph of the function at the given point. f(x) = V8 - x3, (-2, 4) f'(-2) =

A:

Q: Explain how to find f (a) geometrically from the graph of y = f (x).

A: Explain how to find f (a) geometrically from the graph of y = f (x).

Q: Sketch the graph of the function

A: y=-ex-1at x=1, y=-e1-1=-1at x=2, y=-e2-1=-2.72at…

Q: Determine whether the function is linear or nonlinear.If the function is linear,state its slope.

A: Given table is

Q: Express the perimeter P of a rectangle as a function of the width W if the length of the rectangle…

A: According to the given information:P is defined as the perimeter of the rectangleW be the width of…

Q: Find the slope of the graph of the function at the given point.                        f(x) = 27/x3…

A: Given: fx=27x3Point3,1

Q: Use the graph of f (x) = x- to write an equation for the function whose graph is shown. -12 -8 -4 12…

A: The answer of the given question is given by using graph of x² given as follows :

Q: Determine whether the equation defines y as a function of x. x2 +  (y - 1)2 = 4

A: we have to determine whether the given equation defines y as a function of x. x2 +  (y - 1)2 = 4

Q: Use the vertical line test to determine whether or not the graph is a graph in which y is a function…

A: Vertical line test : if we draw any vertical line and it intersect graph more than once then graph…

Q: Find the slope of the graph of f(x) = x4 for each value of x. a. x = −1                b. x = 0…

A:

Q: Determine whether the equation defines y as a function of x. x + y2 = 14

A: x+y2=14y2=14-xy=14-x2so y is function of  x but every value does not satisfy for example if we take…

Q: sketch the graph of the function y= x-4X +3

A:

Q: Find the slope of the graph of the function at the given point.                        f(x) = √(3x2…

A:

Q: Graph the following linear function. f(x) = -x-3 Use the graphing tool to graph the linear equation.

A: Graphing

Q: Determine whether the equation defines y as a function of x: x + y2 = 5

A: To determine whether the equation given below defines y as a function of x :- x+y2=5 -(i)

Q: The pilot of a Boeing 777 jet takes off from Boston's Logan Airport, which is at sea level, and…

A: Consider the given rate of climbing of the plane and the cruising height of the plane:

Q: Sketch the graph of a function y = x".

A: If x>0 Then y = xx If x<0  Then y =(-x)-x

Q: What is meant by linear function in reference to algebra?

A:

Q: Sketch the graph of the function. y = csc x/2

A: We have to graph of y=csc x2 First, we will make a table of cosec x2

Q: determine whether the equation defines y as a function of x.   y2 = 4 - x2

A: Given: y2=4-x2

Q: Determine whether the equation x2 + y2 = 16 defines y as a function of x.

A: x2+y2=16 On simplification, we get y2=16-x2⇒y=±16-x2

Q: Determine whether the equation x2 + y2 = 25 defines y as a function of x.

A: Given equation x2+y2=25 Solve the above equation, we get x2+y2=25y2=25-x2y=±25-x2 In the above…

Q: Find f(x) if f is a linear function with the slope 4 and f(4)=3. F(x)=

A: given slope of linear function m=4 And f(4)=3

Q: Find the x- and y-intercepts of the graph of the function f (x) = -2 |x – 3| + 2. Enter your answers…

A: We substitute y for f(x) in the given function. therefore, we get y=-2x-3+2 To find the y-intercept,…

Q: In physics, the (absolute) pressure P in newtons per square meter at a point h meters below the…

A: Let the equation of pressure represent following equation  P = ah + b   .... (A)

Q: Determine whether the equation x + y2 = 5 defines y as a function of x.

A: Our Aim is to determine whether the equation x+y2=5-(i) defines y as a function of x.

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.