If an absolute value function y = alx - h| + k opens up, which is true?

Q: If f"(x)>0 on an interval I then...

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Q: Where is the interval increasing and decreasing. Which interval or union of intervals represents the…

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Q: Where is f(x)= x³ differentiable? (interval)

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Q: For what value of the constant c is the function f continuous on the interval (-,00). Sa? – 3, x с…

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Q: Find the absolute extrema of f(x)=x/(9-x) on the interval[5,9]

A: fx=x9-x  ,  5, 9 Differentiating with respect to x, we get f/x=dxdx·9-x+d9-xdx·x…

Q: *The interval [a, b] for a function x^3 - 4 x- - ...... 9 = 0 is [2,3] O [0, 2] O [0, 1] O [1, 2] O

A: We need to find the interval for a function f(x)=x3-4x-9=0

Q: es for which the points P(x, y) are on the g y <0 2- -2 -1 -2 3+ Write your answer in interval…

A: Topic:- function

Q: Use the graph to identify the points on the interval [a, b] at which local and absolute extreme…

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Q: (2) If you are only given the formula for a function, how do you determine on what intervals a…

A: To explain: The method to determine the interval in which function is concave up and concave down.…

Q: Choose the correct intervals of x and y such that (x+y)3 is greater than 8

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Q: Find the extreme values on the interval:  f (x) = ex − 20x − 1, [0, 5]

A: Given, fx=ex-20x-1 in [0,5]

Q: The lower limit in the lowest class interval should be equal to i. a. False O b. True

A: Frequency distribution table : A frequency distribution table is one approach to organize data to…

Q: Find the absolute extreme values of the function on the interval. 1) f(x) = tan x, - 7sxs6 4

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Q: Identify any x-values at which the absolute value function f(x)=5|x+8|, is   not differentiable:…

A: Given: fx=5x+8

Q: Find the absolute extrema of the function on the closed interval.

A: h(x)=2-x, -2,2h(x) represents greatest integer function.

Q: Find the absolute extrema of the function on the closed interval. f(x)=6-x,   [-4,1]

A: Given function is, fx=6−x,   −4,1 To find the absolute extrema of the function on the closed…

Q: 13. In the table of signs, interval 0 < x<÷, is the function increasing or decreasing?

A: A function f(x) is decreasing on the interval (a , b)  if f '(x)&lt;0  for every x in (a , b)

Q: Find the absolute extreme values on the given interval. f (x) = 2a2 – a3 [1,3] Absolute Max:…

A: Given, fx = 2x2-x3  on the interval 1, 3 We have to find the absolute maximum and absolute minimum…

Q: What is the absolute extrema for (1-x) / (x^2+1) with [1,5]

A: We find the derivative of the given function using the quotient rule.

Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

A: Given  Charles has scored 93 ,82, and 87 on the first three test. Average of four equality weight…

Q: express the set of numbers x satisfying the given condition as an interval.       lxl ≤ 9

A: Given: x≤ 9 Express x≤ 9 in terms of interval

Q: What is the difference between an open interval and a closed interval from a to b?

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Q: Find the absolute max. and mini. Values by Closed interval method F(x) = −1/x2    0.5≤ ? ≤2

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Q: express the set of the numbers x satisfying condition |x-1| &lt; 18 as an interval

A: The condition |x-1|&lt;18 is rewritten as,

Q: On your own, verify that f(x)=e-x satisfies the conditions of the mean-value theorem on the interval…

A: f(x)=e-x on the interval [0,2]

Q: If f(x) = 7cos(x), what is f'(x) ?

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Q: Find the absolute max and min values at the indicated interval  f(x)=2x^3-x^2-4x+10 ;[-1,0]

A: Absolute maximum and absolute minimum values of a function exist at a point where its first…

Q: Is the domain of y = 4' all real numbers? (ie) continuous

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Q: The domain of f' is 1 (Type your answer in interval notation.)

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Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

A: GivenTest 1=76100           Test 3=86100Test 2=79100            Test 4=x100Find x , such that…

Q: csec?x +secX -2=0

A: Given equation sec2x+secx−2=0

Q: over what domain interval is f(x)=|x| increasing?

A: Consider the given function fx=x

Q: Q,3 For function f (x) = V19 – x , L = 3,x0 = 10,€= 1. Find an open interval about x, on which the…

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Q: On the graph of f(x) = sec x and the interval [0, 27), for what value of x does f(x) = –1? Choose…

A: We have to find out

Q: f (x) = X+10 x²+3

A: The given function,       fx=x+10x2+3

Q: Suppose f'(x) < 2 for all x 2 2, and f (2) = 7. Show that f(4) < 11.

A: Given that f'x &lt;2 for all x≥2 and f2=7.We need to show that f4&lt;11.

Q: Devermine if entinuous or disonfinuous at a given interval. fux) = at (-0,-1)

A: The given function is: fx=4x+1 We have to determine the given function is continuous or…

Q: Algebraically, find the intervals of concavity (interval notation) and inflection points as ordered…

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Q: Find intervals of concavity    f(x)=x(x^2+1)^3

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Q: Find the intervals where f(x) = x -x is increasing

A: We use the first derivative test to find the intervals where the given function f(x) is increasing.

Q: Select all that apply: 4 2 Зл 4 Зл 2 O 57 4 4

A: Trigonometric equation

Q: How do I state the numbers and reasons at which f is not diffrentiable?

A: First check whether the function is differential or not. This can be done using the differential…

Q: 2, the interval of differencing being unity. E Evaluate

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Q: What is the absolute max and min values of f(x)= x²ex on x€[-5,1]

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Q: Express the set of numbers x satisfying the given condition as an interval. |x − 4| &lt; 2

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Q: Lars was 20 inches tall when he was born, and six foot one when he died at age 83. Use the…

A: Intermediate value theorem :- Let f be a continuous function on [a,b] and f(a) =/ f(b) with f(x)…

Q: Can you conclude anything about the extreme values of a continu-ous function on an open interval? On…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.