Using a dependable source, define what a power function is and what restrictions it has. Distinguish between the different graphs of power functions by giving an explanation of why an x^2 graph looks like. Using your knowledge of the graphs of x^2 functions, what are the possible "numbers of solutions" this type of function can have?

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: How to solve functions on a graph?

A: 1st draw a graph.

Q: If you are given a function’s graph, how do you determine if the function is even, odd, or neither?

A:

Q: x + 5 Graph f(x) = State and label all х — 3 intercepts and asymptotes of the function. -

A: fx=x+5x-3 To find the y-intercept, put x=0, we get f0=0+50-3=-53 Therefore y-intercept is 0, -53.…

Q: A student is asked to graph any cubic function, and then determine the equation of the function in…

A: A cubic function has 3 roots. Either one root is real and remaining two roots are imaginary or all…

Q: 2. Begin by graphing the standard quadratic function f(x) = x² . Then use transformations of this…

A: 2.   The given function,   gx=-12x-22+1

Q: Does the values of y have to be the same in axis of symmetry and vertex in functions when they are…

A:

Q: B. INSTRUCTION: Graph the following piece-wise function 2. f(x) = (6x - 2, 1> 0 3x - 2, ISO

A: The piecewise function is f(x)=6x-2        x>03x-2        x≤0 the red line depicts the graph for…

Q: Consider the graph of the function h(x) = -x^5 + 5x^3 - 4x - 1 illustrated below. a. Describes the…

A: The graph is given for the polynomial.

Q: B. INSTRUCTION: Graph the following piece-wise function 1. f(x) = (x - 1, x > 3 V+ 1 - 1srs3r, X <…

A: The given piecewise function is: fx=x-1,        x&lt;-1x&gt;3x+1,-1≤x≤3x2 We have to sketch the…

Q: What is a function explain even graph how function work

A: A function is a relationship between input and output values. Function is a relation in which each…

Q: Write equation of function graphed in image

A: Let us consider the equation of parabola  Parabola Equation Vertex upward parabola…

Q: Week 5: Functions Translating the graph of a function: One step Below is the graph of y = g(x).…

A: The graph the function y = g(x+4) from the graph of y = g(x) is drawn by shifting the graph of y =…

Q: How do you find the composition of functions?Please include an example with your explanation.

A: If there are two functions and then substituting one function into another function is said to be…

Q: Explain how to define the composition of two functions

A: Function composition is an operation that takes two functions f and g, and produces a function h=fog…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.