The diagram shows the graph of a State the range of f b Find an expression for f 1 (x) c State the domain and range of f 1 d On a copy of the diagram, sketch the graph of y f 1 (x), making clear the relationship between the graphs y f(x), where f(x) 4 x 2 for x ER, x 0 ...

a The range of f is 0 4 since x is greater than or equal to 0 and the minimum value of fx is 402 2 w ...

The diagram shows the graph of a. State the range of f . b. Find an expression

Question:

The diagram shows the graph of

a. State the range of f .
b. Find an expression for f⁻¹(x).
c. State the domain and range of f⁻¹.
d. On a copy of the diagram, sketch the graph of y = f⁻¹(x), making clear the relationship between the graphs.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 09, 2023 05:43 AM

See More Questions

An equilateral triangle is shown below. (a) Find an expression for its height h in terms of a. (b) Find an expression for its area A in terms of a. 1
Find an expression for E(Yk) if MY(t) = (1 t/)r, where is any positive real number and r is a positive integer.
Find an expression for the change in entropy when two blocks of the same substance and of equal mass, one at the temperature Th and the other at T" are brought into thermal contact and allowed to...
What will the following code display? numbers = [1, 2, 3, 4, 5] numbers [2] = 99 print (numbers)
The American Hospital Association conducts annual surveys of hospitals in the United States and publishes its findings in AHA Hospital Statistics. Data on hospital type for U.S. registered hospitals...
For maximum efficiency of a Parson's reaction turbine, the speed ratio is equal to: (a) $\frac{\cos \alpha}{2}$ (b) $\cos \alpha$ (c) $\cos ^{2} \alpha$ (d) $\frac{\cos ^{2} \alpha}{2}$
Visit the website of Alpha Analytics (www.alpha-analytics.com/home). Briefly describe their data cleaning and validation techniques and how they are applied.
J. K. Bijan owns a retail business and made the following sales on account during the month of August 20--. There is a 6% sales tax on all sales. Aug. 1 Sale No. 213 to Jung Manufacturing Co., $1,200...
Conditional on holding the price of the output good fixed, does the marginal product of each additional worker increase or decrease as the firm increases output and employment? Explain your answer.
Enter the following transactions in the ledger of A Baker and prepare a trial balance at 31 May, together with a calculation of the profit for the month and a balance sheet at 31 May. May 1 Started...
Find the equation of each graph after the given transformation. a. y = 5x 2 after reflection in the x-axis. b. y = 2x 4 after reflection in the y-axis. c. y = 2x 2 3x + 1 after reflection in the...
a. Find an expression for f 1 (x). b. State the domain and range of f 1 . c. Sketch, on the same diagram, the graphs of y = f(x) and y = f 1 (x), making clear the relationship. f : x 2x 1 for x ,...
In Problem 71, Chapter 8, we used MATLAB to plot the root locus for the speed control of an HEV rearranged as a unity-feedback system, as shown in Figure P7.31 (Preitl, 2007). The plant and...
Compute nonlinear least squares and generalized least squares estimates for a model with an $A R(1)$ error.
Compute delay, interim, and total multipliers for finite and infinite distributed lag models.
Compute HAC standard errors for least squares estimates. Explain why they are used.
Test for consistency of least squares in the ARDL representation of an infinite distributed lag model.
Contrast the exogeneity assumption required for HAC standard errors with that required for estimating an $\mathrm{AR}(1)$ error model.
Rate constants for reactions often follow the Arrhenius equation. Write this equation and then identify each term in it with the corresponding factor or factors from collision theory. Give a physical...
The Cholesterol Level data sets give cholesterol levels of heart attack patients. Cholesterol measures are taken 2, 4, and 14 days aft er a patient has suffered a heart attack. Is there a significant...
A and B are events such that P(A B') = 0.196, P(A' B) = 0.286 and P[(A B)'] = 0.364, as shown in the Venn diagram opposite. a. Find the value of x and state what it represents. b. Explain how you...
A continuous random variable, X, has a normal distribution with mean 8 and standard deviation . Given that P(X > 5) = 0.9772, find P(X < 9.5).
Decide whether or not each of the following binomial distributions can be well-approximated by a normal distribution. For those that can, state the values of the parameters and 2 . For those that...
Let x0, x1 = (0, 1) and A0, A R. Suppose the quadrature formula L 1 log(x)p(x) dx = A0p(x0) + Ap(x1) is exact for all polynomials or order at most 3. What system of equations does x0,x1, A0, and A...
2. Quadratic programming dual: Consider the following linear programming quadratic programming optimization problem with respect to primal variables w = [W1, W2, Wd]: d minimize 1 WT QW + i=1 subject...
We say that a binary relation over X is antisymmetric when satisfies the fol- lowing property: for every x, y = X, if xy and yx, then x = y. Show that the standard order on R" is antisymmetric. Note:...

The diagram shows the graph of a. State the range of f . b. Find an expression

Question:

y = f(x), where f(x): 4 x + 2 for x ER, x > 0.

Step by Step Answer:

a The range of f is 0 4 since x is greater than or equal to 0 and the minimum value of fx is 402 2 w...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions