Consider the absolute value equation f(x) = |ax + b[ +c, where a, b, and c are fixed non-zero real numbers. i) Find a formula for the c-intercept(s) of the graph of y = f(x) (if they exist). ii) Find a condition on c such that f has two r-intercepts. iii) Suppose that g(x) = k|az + b[+c. Find an expression for the c-intercepts of the graph y = g(x) if they exist and hence find conditions that guarantee that g has no z-intercepts.

Q: Let the graph of a function f(x) be as shown below: -2 Į + 3+ 2+ 10 -2 -3 ● 2 Select one of the…

A: In this mathematical problem, we are tasked with choosing the correct option and providing an…

Q: your

A:

Q: If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval…

A: The answer  given below:

Q: Find the four real zeros of the function ƒ(x) = 2x4 - 4x2 + 1.

A: Given:

Q: Suppose f(x) = x + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

A:

Q: 1. Determine the roots of the following function and draw its graph f(x)=x-13x²+36

A: Given function .We have to find the root of the function.

Q: If a and b are both positive numbers, which statement is true about the x-intercepts of the function…

A:

Q: Given the function ƒ, evaluate ƒ(−1), ƒ (0), ƒ (2), and ƒ (4). ƒ(−1) = Number f(x)= { x²-1 4+x-6| if…

A: The given function is

Q: Given f(x)= a) f(-5) x-1ifx<-2 5x+3ifx≥-2 b)/(-2) find each value. c)ƒ(7)

A:

Q: Let R denote, as usual, the set of all real numbers. Consider the following two functions: f: R→ R…

A:

Q: Assume that the domain of f and f-1 is (-∞, ∞o). Solve the equation for x using the given…

A: Given that the domain of f and  is (a)  ; (b) ;

Q: (0) Find the volume of the prism (in cubic inches). ind

A:

Q: Consider the function f(x)=√x+5-9 for the domain [-5, ∞0). Find f¹(x), where f -1 is the inverse of…

A:

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.