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

Q: Find the graph of the function y=x^3-3x^2+2x

A: Explanation of the answer is as follows

Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

Q: Graph of the equation f(x) = 3x - 3 in the xy-Coordinate Plane.

A:

Q: What are the x- and y-intercepts of a function, and how are they found?

A: The x-intercept is the length from origin to where the graph of the function cut the x-axis.   The…

Q: Does the equation 3x + y2 = 10 define y as a function of x?

A: We will solve the equation for y first.

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: 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: What is the y-intercept of the function f (x) = 2"-1 +3

A: When function cross y axis x coordinate is zero

Q: Write a formula for a linear function f whose graph satisfies the condition slope -2/3 and y…

A: Given that the slope(m) of the linear function is -2/3 and the y-intercept is (0, 1/5) which means…

Q: Find the intercepts and then graph the line for f(x)=-2-2x

A: The given function is,

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

A:

Q: Identify the slope and y-intercept of the function y= -2x + 3

A:

Q: Give the equation for the function whose graph appears above. Use f(x) as the output.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Graph the equation : f(x) = (x - 1)2(x - 3)

A:

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

A: Given: Function f(x).

Q: The y-intercept of the function is

A:

Q: At most, how many y-intercepts can a function have?Why?

A: A function defines a relationship which says that for each input there only exist a single output .…

Q: Sketch the graph of the function. y = 3x/2

A: we have to Sketch the graph of the function. y = 3x/2

Q: Sketch the graph of the function y = 2x

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: In the piecewise function in the picture, what does y equal when x=3?

A:

Q: What is the y-intercept of the function whose equation is y = 2(3)x?

A: To find y intercept  put x=0

Q: Determine the intercepts of the graph of the linear function f (x) = 2x + 5.

A: given the linear function: fx=2x+5

Q: Find the x-intercepts of the given function.  y = x2 - 3x + 1

A: The x intercept of a function or an equation is a point of the form x,0 . A coordinate point of a…

Q: In Problem,determine whether the equation defines y as a function of x.           y = x2

A: To determine whether the equation defines y as a function of x.           y = x2

Q: Use the graph of the function f(x) = 0.5x +1 to find the value of y when x = 4. *

A: Given :            f(x) =0.5x + 1        Let y = f(x) = 0.5x + 1 ...(1)    To find:…

Q: Find the points of intersection of the graphs of the functions y = x2 + 1 and y = 4x

A: Given functions:                     y = x2+1   ... (1)                     y = 4x      ... (2)

Q: Find the x-intercepts of the given function.  y = 4x - 4x2 - 1

A: given the function: y=4x-4x2-1For finding the x- intercept , y=0

Q: Determine whether the equation defines y as a function of x. 2x - 4y2 = 3

A: To Determine whether the equation defines y as a function of x. 2x - 4y2 = 3

Q: Which is the equation of the function?

A: Using Desmos, we get the graph of the functions as follows. The RED represents the function…

Q: Find the x-intercepts of the given function.  y = 4 - 2x - x2

A: Our Aim is to find the x-intercept of the function given below:-y=4-2x-x2-(i)For x-intercept we will…

Q: At x = 2, the slope of the curve y = 2x3

A:

Q: Use the slope and the y-intercept to graph the linear function f(x) = 1/4 x - 3.

A: To graph the linear function f(x) = 14x - 3.

Q: Use the graph of y = 3x to graph the function. f (x) = 3x + 5 + 2

A: y=3x

Q: In the given equation , sketch the graph of the function   y = 3- lxl

A: A function is a relation which maps each element in its domain to exactly one value in its range.…

Q: y = (x +2)x² - 1

A:

Q: Find the domain and the range of f.

A: Solution:-  The domain and the range of f.

Q: find the x- and y-intercepts of the graph of the equation. f(x) = 2x-10(                    )…

A: Given information- We have given a function- f(x) = 2x - 10 We can write it as- y = 2x - 10 We have…

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: What are the x intercepts to the function y=(x-a)(x+b)?

A: Topic:- algebra

Q: Determine whether the equation 2x + y2 = 6 defines y as a function of x.

A: We have to determine whether the equation 2x+y2=6 defines y as a function of x . We know that for y…

Q: find horizontal and vertical intercept of f(x)= -2|x+1|+6 and graphing the function

A: The given function:

Q: When considering the function y = -2" +3, the y-intercept is and the range is

A: The given function y=-2x+3 is an exponential curve. y-intercept is the point at which the given…

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

A:

Q: Does the equation x2+y=100 define y as a function of​ x?

A:

Q: What is the graph of the function f(x) = 2x - 1?

A: Given f(x) = 2x - 1

Q: 2) Find an equation for the slope of the graph of y=x²+2x at any point.

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.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.