Question

Use a graphing calculator to make a table of values for f(x)=x^2-1

244

likes
1219 views

Answer to a math question Use a graphing calculator to make a table of values for f(x)=x^2-1

Expert avatar
Velda
4.5
110 Answers
Solution:
1. Choose a set of x-values. Typically, for a quadratic function like f(x) = x^2 - 1, we use a symmetric range around zero. Let's use x = -3, -2, -1, 0, 1, 2, 3.

2. Calculate the corresponding y-values for each x:
* For x = -3:
* f(-3) = (-3)^2 - 1 = 9 - 1 = 8
* For x = -2:
* f(-2) = (-2)^2 - 1 = 4 - 1 = 3
* For x = -1:
* f(-1) = (-1)^2 - 1 = 1 - 1 = 0
* For x = 0:
* f(0) = 0^2 - 1 = -1
* For x = 1:
* f(1) = 1^2 - 1 = 0
* For x = 2:
* f(2) = 2^2 - 1 = 4 - 1 = 3
* For x = 3:
* f(3) = 3^2 - 1 = 9 - 1 = 8

3. Create the table:

Column x
* -3
* -2
* -1
* 0
* 1
* 2
* 3

Column f(x) = x^2 - 1
* 8
* 3
* 0
* -1
* 0
* 3
* 8

Frequently asked questions (FAQs)
Math Question: How many different three-letter combinations can be made using the letters A, B, C, D, and E?
+
What is the variance of the data set {2, 5, 8, 11, 14} using the formula for calculating variance in statistics?
+
What is the length of the side opposite angle A in a triangle with side lengths 5, 8, and angle A measuring 30 degrees?
+
New questions in Mathematics
Solution to the equation y'' - y' - 6y = 0
Karina has a plot of 5,000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used for cultivation?
What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?
Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?
A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?
Consider the relation R defined on the set of positive integers as (x,y) ∈ R if x divides y. Choose all the true statements. R is reflexive. R is symmetric. R is antisymmetric. R is transitive. R is a partial order. R is a total order. R is an equivalence relation.
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
The beta of a company is 1,41 and its cost of equity 18,95%. What is then the market risk premium if the risk free rate is 0,94%? (in %, 2 decimal places)
calculate the normal vector of line y = -0.75x + 3
Desarrolla (2x)(3y + 2x)5
Solve : 15/16 divide 12/8 =x/y
Nice's central library building is considered one of the most original in the world, as it is a mix between a sculpture and a work of habitable architecture. It was called La Tête Carrée and is made up of part of a bust that supports a cube divided into five floors. It is known that the building has a total height of approximately 30 meters. It admits that the cubic part of the sculpture is parallel to the floor and has a volume of 2744 meters3 Calculate, in meters, the height of the bust that supports the cube. Displays all the calculations you made.
A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall
A researcher is interested in voting preferences on change of the governing constitution in a certain country controlled by two main parties A and B. A questionnaire was developed and sent to a random sample of voters. The cross tabs are as follows Favour Neutral Oppose Membership: Party A 70 90 85 Party B 50 50 155 Test at α = 0.05 whether party membership and voting preference are associated and state the conditions required for chi-square test results to be valid.
A loan is repaid with payments of $2226 made at the end of each month for 12 years. If interest on the loan is 5.2%, compounded semi-annually, what is the initial value of the loan? Enter to the nearest cent (two decimals). Do not use $ signs or commas.
solid obtained by rotation around the axis x = -1, the region delimited by x^2 - x + y = 0 and the abscissa axis
2 - 6x = -16x + 28
2.3 X 0.8
Emile organizes a community dance to raise funds. In addition to paying $300 to rent the room, she must rent chairs at $2 each. The quantity of chairs rented will be equal to the number of tickets sold. She sells tickets for $7 each. How much should she sell to raise money?
Matilde knows that, when driving her car from her office to her apartment, she spends a normal time of x minutes. In the last week, you have noticed that when driving at 50 mph (miles per hour), you arrive home 4 minutes earlier than normal, and when driving at 40 mph, you arrive home 5 minutes earlier later than normal. If the distance between your office and your apartment is y miles, calculate x + y.