Mathematics College

The table shows three unique functions.
x f(x) g(x) h(x)
1
-2
-14
-28
-1
7012
49
1
-7
-7
0
0
7
7
-7
14 49 -28
7
1
Mark this and return
Which statements comparing the functions are true?
Select three options.
Only f(x) and h(x) have y-intercepts.
Only f(x) and h(x) have x-intercepts.
The minimum of h(x) is less than the other
minimums.
The range of h(x) has more values than the other
ranges.
The maximum of g(x) is greater than the other
maximums.
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Answers

Answer 1

The three true statements are:

Only f(x) and h(x) have y-intercepts.

Only f(x) and h(x) have x-intercepts.

The minimum of h(x) is less than the other minimums.

From the given table, we can compare the characteristics of the functions f(x), g(x), and h(x) to determine which statements are true.

Statement 1: Only f(x) and h(x) have y-intercepts.

Looking at the table, we can see that f(x) and h(x) have y-intercepts since they have values for f(0) and h(0), while g(x) does not have a y-intercept. Therefore, statement 1 is true.

Statement 2: Only f(x) and h(x) have x-intercepts.

To find x-intercepts, we look for values of x where the functions f(x), g(x), and h(x) equal zero. From the table, we can see that only f(x) and h(x) have x-intercepts, as they have values for x where f(x) and h(x) are equal to zero. Therefore, statement 2 is true.

Statement 3: The minimum of h(x) is less than the other minimums.

By comparing the values in the table, we can see that the minimum value of h(x) is -28, which is indeed less than the minimums of f(x) (-2) and g(x) (-7). Therefore, statement 3 is true.

Statement 4: The range of h(x) has more values than the other ranges.

The range of a function represents the set of all possible output values. From the table, we can observe that the range of h(x) has more values (-28, 0, 7, 14, 49) compared to the ranges of f(x) and g(x) (only two distinct values each). Therefore, statement 4 is true.

Statement 5: The maximum of g(x) is greater than the other maximums.

Looking at the values in the table, we can see that the maximum value of g(x) is 7, which is indeed greater than the maximums of f(x) (-2) and h(x) (14). Therefore, statement 5 is true.

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Related Questions

After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?

Points given: 20

Answers

To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy

Answers

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

¿De qué número 64 es el 80%?

Answers

80 is the number 80*.8=64

Given: Angle1 and Angle2 are supplements, and Angle3 and Angle2 are supplements.

Prove: Angle1 Is-congruent-to Angle3

Three separate angles are shown. They are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.

By the definition of
angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles
is 180 degrees. By the
property, mAngle1 + mAngle2 = mAngle3 + mAngle2. Subtract the measure of angle
from each side. You get mAngle1 = mAngle3, or Angle1 Is-congruent-to Angle3, by the definition of congruence.

Answers

The missing parts of the proof of supplementary angles are:

Supplementary; ∠2 and ∠3; substitution; 2.

How to Identify the supplementary angles?

Supplementary angles are defined as angles whose measures sum to 180°.  Thus this is the first answer.  

Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.

We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.  We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.

To isolate m∠1 on the right, we will subtract m∠2 from each side, and get that m∠1 = m∠3 and the angles are congruent.

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