y 5- 4 3+ 2- -5-4-3-2-11- 1 2 3 4 5 -2+ -3+

Q: Find the zeros of the function f(x) = (x + 3)/(2x2 − 6)algebraically.

A: To Determine: Find the zeros of the function algebraically. Given: we have a rational function…

Q: Graph the quadratic function f(x) = -x2 + 4x + 1. Use the graph to identify the function’s domain…

A: Now the graph is,

Q: Find the domain of the function: g(x) = 5x / (x2 - 49)

A: We first factor the denominator

Q: Find all x-intercepts and y-intercepts of the graph of the function. f(x) = 2x°+8x- 8x- 32

A: The given function is fx=2x3+8x2-8x-32. It is known that the y coordinate is zero for the x…

Q: Consider the function. f(x)=x2-8x+12     a) Determine the vertex.

A:

Q: 2. Find the zeros of f(x)=x² -x-12.

A:

Q: A polynomial function is graphed below. f(x) X. Which function could represent this graph? (1) f(x)…

A: Given Polynomial graph The graph touches x axis at three point that is if f(x)=0 graph touches x=1…

Q: 5 -6pi 6p -5

A: From the graph, it is clear that the graph is a sine graph because, at x = 0, the sine value is…

Q: the graph of f(x)=√9-x2 is shown below. Sketch the following. a) y=2f(x-1)-2 b) y=-½f(2x)

A:

Q: Use the graph to write the formula for a polynomial function of least degree. f(x) f(x) 4 2 - x -4…

A: First see the numbers zeros of the polynomial than write the equation in the following of zeros of…

Q: Graph the quadratic function f(x) = -x2 - 2x + 1. Use the graph to identify thefunction’s domain and…

A:

Q: -1 -2 |(1, -2) -3 -6 -8 -9 -10 -4 -3 -2 Enter the rule for the quadratic function shown in the graph…

A: Using our general form of the quadratic, y = ax2 + bx + c, we substitute the known values for x and…

Q: Write the quadratic function in the form f (x)= a (x-h)² +k. Then, give the vertex of its graph. f…

A: To find: The vertex of the graph fx=ax-h2+k. Given: The equation is fx=3x2-12x+11. Concept used: The…

Q: The number of fish swimming upstream to spawn is approximated by the function given below, where x…

A: Explanation is given below..

Q: Find the x- and y-intercepts of the graph of the function f(x)=−3|x−5|+6.

A:

Q: Graph of the function. Show all 7 steps.  g(x)=x2-2x-15

A: Must have idea about the seven steps to determine the graph of any rational function.

Q: f (2) = x-x-6 x2 +5x+6 Which graphs shows the function

A:

Q: Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.) x2 –…

A: Please refer the attached image for complete solution .Given function f(x)=x2-5x+62xf(x)=2x2-3x-20To…

Q: Find the domain of the function. 7 |x²-161 g(x)

A: Domain : It is the set of all real numbers for which the equation is defined.

Q: 4. Sketch a graph of f(x) = x2 + 2x-3 and use the graph to solve: x2 + 2x-3 <0. Write your answer in…

A:

Q: Identify the end behavior of the polynomial function: h(x)- 2x-2x-9 h(x) is shown in the graph.

A: h(x)=2x4-2x-9 end behavior of the polynomial function isAs x→-∞ , h(x)→∞As x→∞ , h(x)→∞

Q: The graph of a quadratic function f is given. f(x) = -x2 + 8x -7 y

A: Given: From the above graph, we get the following. For (a),

Q: Graph the function by using its properties.   f(x) = x2 − 4x + 3

A: First we find the domain, axis of intercepts, vertex and range of the function. By using this we…

Q: Write the quadratic function in the form f(x) =a (x-h)*+k. Then, give the vertex of its graph. f() =…

A:

Q: Find c so that the graph of f(x) = cx2-or-2 has a point of infection at (4T4)) a) OCf64 b) OcF128 c)…

A: It known that, an inflection is a point (c, f(c) on the graph of f when the concavity changes.Find…

Q: The zeros of f(x) = x2 − 5x − 6 are −1 and 6. What are the coordinates of the x-intercepts of the…

A: Given:

Q: Graph the quadratic function f(x) = -x2 - 2x + 1. Use the graph to identify the function’s domain…

A: Given: f(x)=-x2-2x+1 To find: Domain and range by using graph.

Q: Find the domain of the function.

A: The given function f(x) is - f(x) = x2+2x-13x2-4x-8For the function f(x) to be defined, the…

Q: Find the zeros of the function algebraically. f (x)= 9x2 - 5

A: Just equate f(x) to zero.

Q: Use the graph of f (x) to identify the graph of f(x). 10 -2 4 -6 10f

A: Option 1 is correct Explanation is given below...

Q: Find points of inflexion if any on the graph of the function y = 3x3 + 6x2 + 3x - 1

A: Inflection points of a function are the points where the function changes its concavity and the…

Q: Find all x-intercepts of the graph of f (x)= x-5x²-36

A:

Q: Find the zeros of the function algebraically. f(x) = 2x2 - 3x - 54

A: Given function is fx=2x2-3x-54. To find the zeroes of the function. Solution: Finding zeroes of the…

Q: Find the zeros of f(x) = -4(x + 1/2)2(x - 5)3 and give the multiplicity of each zero. State whether…

A: f(x) = -4(x + 1/2)2(x - 5)3

Q: Find the maximum or minimum value of the function.

A: Given function is fx=-x23+2x+7. To find the maximum or minimum value of the function. Solution:…

Q: What are the x-intercepts of the graph of, f

A: f(x) = x2 + 4x -21 When we try to plot it on a X-Y plane, we write y = x2 + 4x -21 When we are asked…

Q: -k/complete-a-table-and-graph-a-linear-function f(x) = 4x + 2 f(x)

A: f(x)=4x+2 at x=0 f(0)=4x0+2=0+2=2 f(1)=4x1+2=4+2=6 f(2)=4x2+2=8+2=10

Q: Find the domain of the function g (x)=/-4x+24

A: Given,           The function is gx=-4x+24.

Q: Use the graph of f(x) = 2x² – 5v2x + 3 to sketch the graph of f (x) – 3.

A: It is given that the function fx=2x2-52x+3. We have to use the graph of the function fx to sketch…

Q: f(x)=-4x3+x2-9x+6 what is the possible number of negative real zeros of this function?

A:

Q: Write the quadratic function in the form f(x) = a (x-h)²+k. Then, give the vertex of its graph. 2 f…

A:

Q: The vertex of the quadratic function f(x)= (x+6)^2 -2 is

A: The general form of the quadratic function is, y=ax-h2+k Here, (h,k) is the vertex. Consider the…

Q: Write the quadratic function in the form f(x) = a (x-h)-+k. Then, give the vertex of its graph. f(x)…

A:

Q: (LO15) 21. Graph the polynomial function f(x) = x(x + 4)(x - 3)(x + 2) 60- 50t 40+ 301 At 201 10 10x…

A: We need look about multiplicity so that at  zeros graph crosses x axis or not

Q: Find the x- and y-intercepts of the graph of the function f(x)=−2|x+5|+2.

A: The graph of the function is

Q: Write the quadratic function in the form f(x)=(x-4)²+k Then, give the vertex of its graph.…

A:

Q: f(x)=x3-3x2-9x+27 determine the zeros, their multiplicity, and whether the graph will touch or cross…

A: Given function:

Q: 5. Find the maximum or minimum of the function, and state whether your answer is a maximum or…

A:

Q: f (x) = x + 2x - 8x2 - 18x - 9, Which graphs shows the function -10 -15 -15

A: Here we have to graph the function        f(x) = x4 + 2x3 - 8x2 - 18x -9 .

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.