Question

The functions f and g are given by f(x) = x^4 and g(x) = 4x^2. Isse claims that the graphs of the functions intersect at the point (-2,16). Is Ise's claim true? Motivate your answer.

139

likes
695 views

Answer to a math question The functions f and g are given by f(x) = x^4 and g(x) = 4x^2. Isse claims that the graphs of the functions intersect at the point (-2,16). Is Ise's claim true? Motivate your answer.

Expert avatar
Maude
4.7
108 Answers
1. Evaluate f(x) = x^4 at x = -2 :

f(-2) = (-2)^4 = 2^4 = 16

2. Evaluate g(x) = 4x^2 at x = -2:

g(-2) = 4(-2)^2 = 4 \cdot 4 = 16

Since f(-2) = 16 and g(-2) = 16 , the given point ( -2, 16 ) satisfies both functions.

Answer: Yes, Isse's claim is true. The graphs intersect at the point (-2, 16).

Frequently asked questions (FAQs)
What are the conditions for triangle A to be congruent to triangle B?
+
Math Question: Find three natural numbers a, b, and c such that a³ + b³ = c³. (
+
Question: "Graph the exponential function y = 2^x. How many times does the function increase after taking x = 0 as the starting point, up to x = 5?"
+
New questions in Mathematics
If you have a bag with 18 white balls and 2 black balls. What is the probability of drawing a white ball? And extracting a black one?
Determine all solutions to the inequality |2x + 6| − |x + 1| < 6. Write your final answer in interval notation
90 divided by 40
How do you think the company has increased or decreased its income?
Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
4x/2+5x-3/6=7/8-1/4-x
Log5 625
It is known that the content of milk that is actually in a bag distributes normally with an average of 900 grams and variance 25 square grams. Suppose that the cost in pesos of a bag of milk is given by 𝐶(𝑥) = { 3800 𝑠𝑖 𝑥 ≤ 890 4500 𝑠𝑖 𝑥 > 890 Find the expected cost.
How many square feet of floor area are there in three two-storey apartment houses, each of which is 38 feet wide and 76 feet long?
Given (3x+2)E [2;14] how much money (in soles) does Sophia have if numerically it is the greatest value of x?
The maximum gauge pressure of a hydraulic ramp is 16 atm, with a support area whose diameter is 20 cm. What is the mass of the heaviest vehicle that can be lifted?
Use a pattern approach to explain why (-2)(-3)=6
-1%2F2x-4%3D18
(a) List the set of possible rational zeros of the polynomial function F(x) = 2x3 - 11x2 + 13x - 4. (b) Find all rational zeros of F(x). Only do part B
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion is greater than 35%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is z= 2.6. Find the P-value for this test.
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?
Identify the slope and y intercept y=11+2/3x
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
Slope (7,3) and (9,5)