x + a x+b It will be decreasing all throughout its domain if b> a. It will be increasing for x<- b and decreasing for x>- b. [none of the choices] It will be decreasing all throughout its domain if b -b and increasing for X <- b. Consider the function f(x) = with nonzero constants a and b. Which of the following is true?

Q: (x² +3x – 4)(x² –9) h: y=- (x* +x-12)(x+3)

A: The function is  y=(x2+3x-4)(x2-9)(x2+x-12)(x+3)

Q: 3. a. Find the intervals of increase and decrease for the following. y = 2x² - 8x + 1 b. y=x² + 160…

A: A function f (x) increases in the interval I if f'(x) &gt; 0 for all x in I.A function f (x)…

Q: The graph of a function fis formed by vertically stretching the graph of y = √x by a factor of 2,…

A: WSe have to apply the given transformation on the graph

Q: 13

A: Given query is to find basic function and then transformed function.

Q: The following sets of ordered pairs are functions. Give a rule that could describe each function. 1…

A:

Q: 3 For the function f(x): 2 find the x part of the x-intercept. I + 11

A:

Q: Determine the domain of each function. x2 - 25 x² - 4 79. f(x) 80. f(x) x - 5 x + 2 x3 x* + 7 81.…

A: To find the domain: f(x)=x2-25x-5. Solution: We know, a rational function is defined for all real…

Q: The function f(x) = x² is transformed into the function g(x) = 2x2 + 5. Determine whether each…

A: We have to check

Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: 2x -5x+3 2. Given h(x) = x? +x-2 At what value of x does the function have an infinite…

A: Topic = Functions As per guidelines , At  a time only three sub-parts can be answered.   1) An…

Q: Evaluate piecewise function at the given values of the independent variable.

A:

Q: -1 is an even function

A: The given statement is true.

Q: Evaluate f(-5), (0), and f(3) for the piecewise defined function. - 4 if x < 0 f(x) : if x 2 0 f(-5)…

A:

Q: Use the given graph of the function f to find the following values for f-1 f-1(−4)= f-1(-3)=…

A:

Q: I. Let f(x) = x + 2 and g(x) = x² + 4x+4. Perform each function operation and then find the domain…

A:

Q: Each function F has domain (0,1,...,23,24). Which function F satisfies the 5-to-1 rule? F(x) =…

A: A function f is said to follow 5-to-1 rule if for every value y in the range of f, there exists five…

Q: Suppose the coordinate (2, -4) is on the function k(x). If h(x) = k(x + 10) + 5, when k (x) is…

A: