Step-by-step explanation:
How to check a solution: Just as you can check the solution to an equation, you can check a solution to an inequality. First, you check the end point by substituting it in the related equation. Then you check to see if the inequality is correct by substituting any other solution to see if it is one of the solutions.
How to tell if its true or false: An inequality is a statement that shows the relationship between two (or more) expressions with one of the following five signs: <, ≤, >, ≥, ≠. Like an equation, an inequality can be true or false. 34 - 12 > 5 + 2 is a true statement. 1 + 3 < 6 - 2 is a false statement.
Answer:
A function normally tells you what y is if you know what x is.
26) Let f(x)=x4−1x2−1 for x≠−1,1 .
a. Sketch the graph of f .
b. Is it possible to find values k1 and k2 such that f(−1)=k and f(1)=k2 , and that makes f(x) continuous for all real numbers? Briefly explain.
27) Sketch the graph of the function y=f(x) with properties i. through vii.
i. The domain of f is ( −∞,+∞ ).
ii. f has an infinite discontinuity at x=−6 .
iii. f(−6)=3
iv. limx→−3−f(x)=limx→−3+f(x)=2
v. f(−3)=3
vi. f is left continuous but not right continuous at x=3 .
vii. limx→−∞f(x)=−∞ and limx→+∞f(x)=+∞
Answer:
for the first one, simply add g(x) and h(x) :
x+3 + 4x+1 = 5x + 4
the second one, you would multiply them :
(x+3)(4x+1) = 4x^2 + 13x + 3
the last one, you would subtract :
(x+3)-(4x+1) = -3x + 2
and then substitute 2 for 'x' :
-3*2 + 2 = -6 + 2 = -4
Answer:
1 :)
Step-by-step explanation: