Find a value for the constant c so that the function с if x < 8 f(x) = { x-10 6x 1 - if x ≥ 8 is continuous at 8. C =

Q: Find the domain of the function F(x)= 11/x-15

A: Given query is to find the domain of the function.

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

A:

Q: For what values of a and b is the function f continuous on (- 00,00)? (Write only the values of a…

A: For what values of a and b the function f continuous on -∞,∞            a-3x     if x&lt;-1f(x)= 4a…

Q: Which one of these statements in relation to the function f(x)= x+3/x is false?

A: Explanation of the answer is as follows

Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: If f(x) = ax , show that f( - x) = 1 / f(x) .

A: We have to show that: f-x=1fx Where given function is fx=ax. Taking LHS (putting x=-x in fx ), we…

Q: What type of discontinuity does the function f(x)=xsecx have?

A:

Q: On which of the following intervals is f(x) = continuous? Vx-2

A:

Q: f(x)= 23-4b            If x=3

A: Continuity: A real function f(x) is said to be continuous at a∈R (R− is the set of real numbers), if…

Q: Find the open intervals where the function f(x)=-2/x+1 is concave up and concave down. State any…

A: According to the given information, it is required to calculate the interval where the function is…

Q: Find the open intervals on which the function f(x)=x+6*sqrt(5−x) is increasing or decreasing.

A: Given, f(x)=x+65-x

Q: Let f(x) = x + 3 if x ≥ 5, 8 if x &lt; 5. Find f(12) - f(-12).

A:

Q: Draw the graph of any function f (x) that passes through the point (3, 2).

A: Consider the function  f(x)=x-1. Put x=3. f(3)=3-1=2. So the graph of the function passes through…

Q: 15 10 8 10 Evaluate f(0) (a) Estimate f(4) (b) 00 2.

A:

Q: Find the intervals on which the function f(x)=x−4x2 is increasing and decreasing.

A: Given function: