Question: Find the largest possible domain for each function and state the corresponding range. a. f(x) = 3x 1 b. f(x) = x 2 +

Find the largest possible domain for each function and state the corresponding range.

a. f(x) = 3x − 1

b. f(x) = x² + 2

c. f(x) = 2^x

f(x) =

Step by Step Solution

★★★★★

3.37 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The domain of a function is the set of all possible values of the input variable x for which the function is defined The function fx 3x 1 is a linea... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Cambridge International AS & A Level Mathematics Probability & Statistics Questions!

Find the largest possible domain and largest possible range for each of the following real-valued functions: Write your answers in set/interval notations. (a) F(x) = (b) G(x)= 4x +3 2x-1 2 x - 6x +8

For each function and graph in Problems below (a) Use the graph to identify x-values for which y' Ë 0, y'Ë 0, y'=0, and y' does not exist. (b) Use the derivative to check your conclusions....

Use a graphing utility to complete the table for each function and graph each function to estimate the limit. What is the value of the limit when the power of in the denominator is greater than 3? a....

determine the largest possible domain of the hyperbolic cosine f(x) = cosh x such that f (x) is one-to-one. Find the inverse of f (x) and states its domain and range

R=1 in my case Question 3 13!] marks! (xl)(x2)(x3)(x+R)I (H) (a) Find the largest possible domain of f(x) = (b) Determine with reason(s) whether the following functions x) and g(x) is odd, even or...

2. (a) Explain why the function f(x) = e is not injective (one-to-one) on its natural domain. (b) Find the largest possible domain A, where all elements of A are non-negative and f : A - R, f(x) = e"...

. Question 17 2 pts Let f(x) = x + 3 and g(x) - 3x2 + 2x. Calculate the composition below and simplify the result. (go f) (x) =Question 18 2 pts 9 1 0 Details Suppose the graph of y = x is stretched...

Problem 8.1. For this problem, f(t) = t 1, g(t) = t 1 and h(t) = |t|. (a) Compute the multipart rules for h(f(t)) and h(g(t)) and sketch their graphs. (b) Compute the multipart rules for f(h(t)) and...

. Find the line through (3, 5) which is perpendicular to the line L with equation 33: 2y : 1. . The straight line 430 + 33; = 6 meets the xaxis at the point P and the yaxis at the point Q. Find the...

1) Find the largest possible domain and corresponding range of the function f (x, y) = V9 -22 -yz. Determine the equation of the level curves f(x, y) = c, together with the possible values of c. 2)...

Your client has just written his first book of his experience as a hostage of a terrorist group. He spent the last two years writing the book and he has received two offers from a publishing company...

Indicate which of the following errors, each considered individually, would cause the trial balance totals to be unequal: a. A payment of $7,000 for equipment purchased was posted as a debit of $700...

Cape Wheel Pty ( Ltd ) operates the iconic Ferris wheel at the Cape Town Waterfront, a major attraction drawing both locals and tourists. Extract from the Revenue Cycle Description Visitors purchase...

Estimate the following using a calculator: (a) 65 (f) 2197 (b) 37 (c) 8-4 (d) 12-6 (g) 50,625 (h) 7840.5 (e) 784 (i) 50,6250.25

In a toolbox there are 25 screwdrivers, 16 drill bits, 38 spanners and 11 chisels. Find the probability that a random selection of four tools contains no chisels.

From six boys and seven girls, find how many ways there are to select a group of three children that consists of more girls than boys.

From a group of 10 boys and seven girls, two are to be chosen to act as the hero and the villain in the school play. Find in how many ways this can be done if these two roles are to be played by: a....

Fill in the table below for the following zero-coupon bonds, all of which have par values of $1,000. Use semi-annual periods. (Do not round intermediate calculations. Round your answers to 2 decimal...

You are about to prepare a set of projections for a business that is operating in a highly, competitive, mature industry. Sales are growing broadly in line with the economy, and this is expected to...

>-1.] E-business differs from traditional business in that: A) traditional business caters to business-to-business deals, which do not include direct selling B) e-business carries out the goals of...