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)
Question: What is the product of a mixed number, 4 and 3/4, and a factored number, 6 × 9 × 10, when both are multiplied by a real number, 2.5?
+
What is the length of the perpendicular bisector of side AB if AB = 10 units?
+
What is the limit of x as it approaches 3 of the function (2x + 1)/(x - 1)?
+
New questions in Mathematics
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..
7273736363-8
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
4x-3y=5;x+2y=4
7/6-(-1/9)
The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?
show step by step simplification: (¬𝑑∨((¬b∧c)∨(b∧¬c)))∧((𝑎 ∧ 𝑏) ∨ (¬𝑎 ∧ ¬𝑏))∧(¬𝑐∨((¬𝑑∧𝑎)∨(𝑑∧¬𝑎)))
John he’s going to the carnival with his friends. He spends $25 on an admission ticket. He buys 10 games at X dollars each and two boxes of popcorn at Y dollars each. Write an expression to show the total cost of admission game, tickets and popcorn.
The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of ​​the triangle!
1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.
What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?
If sin A=0.3 and cos A=0.6, determine the value of tan A.
x²-7x+12=0
9n + 7(-8 + 4k) use k=2 and n=3
12[4 + (8 + 7) + 5]
Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?