Graph the following piecewise functions and discuss continuity: f(x)=√-3x+1, x <1 (x², x ≥1 (3, x≤-1 g(x)=x2, -12

Q: The solution of the linear congruence 4x = 5(mod 9) is? 6(mod 9) 10(mod | 9) mod 9) 8(mod 9)

A: Given a statement

Q: Suppose that a > 0. Which of the following functions has all of these features?  one negative…

A:

Q: Consider the following function: -{ ( 2x² – 10x + 4 if x < 4 = (x)f - 2x2 – x + 6 if x 2 4 Step 1 of…

A: Given function f(x)  To find the x-value where function is discontinuous.

Q: Find the domain (in interval notation) of the following functions

A: Domain: Domain of a function is the set of values of x for which the function is defined and real.

Q: Question 9 Ay f (x) =< ; Estimate f (-2) %3D 8-6 4 O -1 -2 O None of these 2]

A: The graph of the function crosses the x-axis when x=-2. Then, the value of the function at x=-2 is…

Q: 4. Determine each value for the given function: f (5) = %3D 3", if x 0

A:

Q: f e 17. Show that the set of all points in R2 lying on a line is a vector space with respect to the…

A:

Q: 9) Evaluate the piecewise function for x = -1 and x = 4. 2x + 1 if x 2 h(-1) = h(4) =

A: To evaluate the piecewise function for x=-1 and x=4.hx=2x+1  if x≤2x2-4  if x&gt;2h-1=?h4=?

Q: x² +2x+1, if x -2

A:

Q: Is the point (4, 14) on the graph of the function g(x) = (x2 + 4)&gt;(x + 2)?

A: Given inequality is: gx=x2+4&gt;x+2 Given point is (4, 14).

Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

A:

Q: Find the point(s) of discontinuity of the piece-wise function f given by f(x) = |x| +3 if xs-3; -2x…

A: