Given the function P(z) = x(x - 3)(x + 7), find its y-intercept: its a-intercepts: When a 0o, y When a - 00, y Which of the following could be the graph of P(2)? 10 10 10 t0

Q: For the function y=x-1, graph the points with the domain of {0,4,6,8,9}

A: Domain: Set of values of x or independent variable for which the value of y or dependent variable…

Q: If f(x) = 2x2 + 5 and g(x) = 3x + a, find a so that the graph of f ∘ g crosses the y-axis at 23.

A: fx=2x2+5  &  gx=3x+a Now, f∘gx=fgx=f3x+a=23x+a2+5

Q: Graph using the slope and y intercept. F(x)= 1/3x-3

A: The given function is: F(x)=13x-3 The general slope-intercept form the line is: F(x)=mx+c where m…

Q: Given the function g(r) = (r – 4)(r + 2)(r – 1) its g-intercept is its r-intercepts are

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Q: For Exercise, estimate the x- and y-intercepts from the graph. 3-2 –1

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Q: Find the coefficients that must be placed in the blank area so that the function’s graph will be a…

A:

Q: For the function g(x)=3/5 x+9 if you graph the yy-intercept and then use the slope to go up and over…

A: to find the slope in increasing order, let take the value of x.

Q: ht Po - Fx)G(X) and Qx) = Fx)/G(x), where F and G are the functions whose graphs are shown. (a) Find…

A: For finding the derivatives of F and G at 2 and 7 , first we have to draw the tangent line at that…

Q: Find the point at which the line f(x) = - 2x +4 intersects the line g(a) = -a

A: Given, f(x)=-2x+4 and g(x)=-x

Q: snip

A: We have given f(x)=2x2+5, g(x)=3x+a and f∘g crosses the y-axis at 23. f∘g (read as "f of g") is a…

Q: Suppose that the x intercepts of the graph of y=f(x) are -5 and 3. What are the x intercepts of the…

A:

Q: 6. For the function, y=x² - 4x - 5, complete the table then graph. -2 -1 1 4 2 10 -8 6 -4 -2 2468 10…

A: the equation given to us is  y=x2-4x-5

Q: Given the function g(t)=(t-7)(t+3)(t-6) cordinates of its g-intercept are  cordinates pf its…

A: If the function touches the g axis then the coordinates of t  are zero. If the function touches the…

Q: Given the function P(x) = x(x - 4)(x + 8), find | its y-intercept: its a-intercepts: When x o, y →…

A: We can make it easier for you.

Q: Given the graph of f (x) below and g(x) = 3x + 7 %3D which is the distance between the two y-…

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Q: i can't figure out how to get the y-intercept

A: Given:

Q: If f(x) = 2x2 + 5 and g(x) = 3x + a, find a so that the graph of f ∘ g crosses the y-axis at 23

A: f(x)=2x2+5g(x)=3x+a

Q: Use the graph of y=f(x) to answer the following. y 4. 3+ 2+ -3 -2 3 -2- -3- -1

A: We can find the domain and range as below.

Q: Pls help ASAP

A: Given , the graph of f(θ) has the y-intercept at 3.

Q: Given L₁, x-2y=6 and L2, x+2y = 0. Find a) x-intercept and y-intercept of L₁ b) x-intercept and…

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Q: What is the smallest value for a such that (a,0) is an x-intercept for the graph of…

A: If point a,0 is an x-intercept for the graph of fx=4x3+11x2-8x-15, then it must satisfy the…

Q: Given the function P(t) = (t - 2)(t +3)(t - 7) its Pintercept is its t-intercepts are

A:

Q: Find the z- and y-intercepts of the graph of the function f (z) =-3|z+5+9. %3D Enter your answers as…

A:

Q: On the axes below, sketch a possible function p(x) = (x-a)(x-b)(x+ c), where a, b, and c are…

A: This is a graph problem

Q: Select the root(s) of the quadratic function f (x) = x2 + x - 6 -3 -2 -6 6 The y intercept point of…

A: We have to check

Q: Given the function P(x) = (x – 3)(x + 3), find its y-intercept is its r-intercepts are 1 X2 = and I3…

A:

Q: Given the function g(r) = (r – 6)(r + 1)(r – 4) its g-intercept is its r-intercepts are

A: g intercept is the point where the function touches the g-axis. So value of r will be zero. So to…

Q: Given the function C(n) = (n – 6)(n + 5)(n – 3) its C-intercept is its n-intercepts are

A: The C intercept is calculated by putting n = 0 That is C(0) = (0-6)(0+5)(0-3) = 90 Therefore the C…

Q: Given the function P(z) = (x – 2)( + 4), find its y-intercept is its z-intercepts are 1 = and r3 =…

A: Given function P(x)=x(x-2)(x+4)

Q: Q3:1) Is y = -V1 – x2 a function? 2) Graph the function f(x) %3D x< 0

A:

Q: Find the coefficients that must be placed in the blank area so that the function’s graph will be a…

A: Given:Ax+By-12=0⇒Ax+By=12y-intercepts=0,-6 slope(m)=12

Q: Given the function P(t) = (t – 6)(t + 1)(t – 2): the coordinates of its P-intercept are the…

A: Given function P(t) = (t - 6)(t + 1)(t - 2)

Q: For the function: y = 0.01x- 0.001x² Find the zeros, the vertex and the optimum value (max. or min.)

A: As per company guideline we are supposed to solve only one question at a time. For other question…

Q: f(x) = 2 x-6x-7 8-2

A:

Q: If f(x) = 3x^2 − 7 and g(x) = 2x + a, find a so that the graph off ◦ g crosses the y-axis at 68.

A: Given

Q: Find​ y-intercept of the graph.   5x=20−4y

A: Given- 5x=20-4y To Find- y- intercept of the above equation. Concept Used- To find y- intercept  ,…

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: 5. Sketch the graph of v: R ® R, v(x) = 2x² – 5x – 3, indicating the X- and y-intercepts, and the…

A: Given: v(x)= 2x2-5x-3.

Q: f you were to reflect the graph of y = ;x² – 1 in the y-axis, its equation would be O y = -2x? – 1 O…

A: Given, y = 0.5x2 -1

Q: Use the leading-term test and your knowledge of y-intercepts to match the function with one of the…

A: Given the function fx=x5-x4+x2+3 To find out the graph of f(x) from the following options

Q: Given the function C(x) = 3x + 24x3 + 36x? Its C-intercept is Its x-intercept(s) is/are Remember…

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Q: Given the function P(z) = =(x - 5)(z + 2). find %3D its y intercepc its intercepts When z+ 00, y IV…

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Q: Given f ( x ) = x 3 − 3 x 2, find the y-coordinate of the y-intercept.

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Q: Given the function y = ax 2 + bx +c has x-intercepts at 6 and 2, a vertex at (4, -2). Find the value…

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Q: 6. Determine the x-intercept(s) and the y-intercept of the function f: R R, f(r) = 3x-2 and sketch…

A: See the attachment

Q: Given the function P(x)=(x−2)(x−4)(7x+1) Its y-intercept is   Its x-intercept(s) is/are     When…

A: Solution:-

Q: suppose that the x-intercepts of the graph of y=f(x) are 4 and 7. What are the x-intercepts of…

A:

Q: Let f(x)=3x^2-6x+7 a: Find the axis of symmetry  b: find the intercepts c: Graph

A: the axis of symmetry  is -b2a=66=1

Q: I need to find the y intercept of g(x) = x² - 9x + 20

A: We have to find y intercept

Q: suppose that the x-intercepts of the graph of y=f(x) are: -7 and 2  what are the x-intercepts of the…

A: The x intercepts of the graph, y is given below.

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.