Graph the function and state domain and range using interval notation. F(x) =  square root of x+1

Q: A basketball is thrown, and its height above ground is represented by the function f(x) = -3x² + 10x…

A: Given the graph is

Q: Find the domain of the function: h(x) = √(3x + 12)

A:

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: Graph the the quadratic function f(x) = -x2 - 4x + 5. Give the function domain and range.

A:

Q: Simplify and state the domain for the function. f(x)=-3x2-9x+30/x-2

A: f(x)= -3x2-9x+30x-2 ⇒f(x)= -3x2x-2-9xx-2+30x-2 ⇒f(x)= -3x3-3x2+18x+30x-2

Q: find the maximum or minimum value of the function f(x)= 3x^2-18x-160 _______

A:

Q: Graph the function by using its properties. f(x) = −16x2 + 24x − 9

A: This is quadratic equation with leading coefficients is negative so it is downward parabola.. Then…

Q: Find the domain of the function : g(x) = √(5x + 35)

A: We can not have negative number inside a square root.  So,  5x+35≥0 or, 5x≥-35 or, x≥-7

Q: For the function f(x)=x3/3-x2 - 24x+19 Determine the turning points and the values of the function…

A: Use the concept that at turning points the derivative of the function will be 0, as the slope will…

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = −x3 +…

A: f(x)=-x3+6x2-5The given function is a continuous function…

Q: Find the domain and range of the function. f(x) =5x2 + 4

A: Given function, f(x)=5x2+4

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

A:

Q: Find the domain and range of the function. g(x) = x² – 9

A:

Q: Find the domain of the function : g(x) = √(7x-70)

A:

Q: Find the domain of the function.

A: The domain of a function is the set of values for which the function is defined. Hence, it is also…

Q: find the domain and range of ƒ(x) = 1 - 2x

A: f(x)=1-2x is a linear function.  For linear functions all real values of x are possible.  And all…

Q: Find the domain of f(x) = 2 – 25° x² –

A:

Q: Find the domain and range of the function. f(x) = 3x; -2 ≤ x ≤ 6

A: Given:            fx=3x -2≤x≤6 fx=3x is defined for all Real values of x. therefore the Domain is…

Q: Find the domain and range of the function. g(x) = x2 − 5

A: Given: gx=x2-5 we know that for any quadratic function whose coefficient of x2 is positive domain is…

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: Differentiate the function  g(x)=7/4x2-3x=12

A:

Q: Find the domain and range of the function. f(x) = 7x² + 5

A:

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

A: Just equate f(x) to zero.

Q: Find the x-intercepts of the graph of f(x)= 4x2 + 8x - 3.

A: Given :            f(x) = 4x2 + 8x - 3

Q: Find the domain and range of f(x) = 2(3x +7)² + 5.

A:

Q: X-1 6. f(x)= 1 +2

A:

Q: Find the x intercepts of f(x)=4sec(x)+8

A: Given function f(x) = 4Sec(x)+8.X intercepts of any function are the points where the graph touches…

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: what is the end behaviour of the function  x4-5x2+1

A: Find end behaviour of polynomial function.

Q: Find the domain and range of the function f(x)=√12-3x^2

A:

Q: Find the domain and range of the function F(x)=|8+7x|.

A: Given: -

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

A:

Q: Graph the the quadratic function f(x) = 3x2 - 6x + 1. Give the function domain and range.

A: we have to graph the given quadratic function f(x) = 3x2 - 6x + 1 also we have to write the domain…

Q: Find the natural domain and graph the functions ƒ(x) = 1 - 2x - x2

A: This is a polynomial function. so the domain of it is all real numbers.

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

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

Q: Find the maximum or minimum value of the function. f(x) = 6x2 - 24x - 100

A: Given,f(x)=6x2-24x-100 We know, for a quadratic equation of the form ax2+bx+c=0,a>0 the minimum…

Q: find the natural domain and graph the function   f(x)=square root (-x+5)

A: Consider the function fx=-x+5 The function fx is defined when -x+5≥0⇒x≤5⇒x∈(-∞ , 5] Hence, the…

Q: Graph the function f(x)=x4+2x3-7x2-20x-12

A: The given function is f(x) = x4+2x3–7x2-20x–12.Graph the function as follows.First find the ordered…

Q: The degree of the power function f(x) = -8x6 is

A: Degree of polynomial

Q: x3+x²-4 1. 9x 2+3

A: Given: y=x-3+x2-49x1/2+3 rewrite the equation. y=x-3+x2-49x+3 The rational function will not be…

Q: Determine the concavity and find the inflection points of the function ƒ(x) = x3 - 3x2 + 2

A: Given function  f(x) = x3-3x2 + 2  The first derivative is f'(x) = 3x2 - 6x    and the second…

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: for the function g(x) = 6x2-x-10 find g(-2) g(-2) =

A:

Q: find the domain and range of f(x)=1/√6x+5

A:

Q: Find the domain of: f(x) = 7x - 2/ x+4

A: Please refer the attached image for complete solution.

Q: Determine domain and range of quadratic function f(x)=-4(x+3)^2-9 answer in interval notation

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.