All categories

2 months ago

Which statement is true regarding the graphed functions?

Mathematics

2 answers:

tester [12.3K]2 months ago

8 0

The right choice is $\boxed{\left(c\right)f\left(2\right)=0{\text{ and }}g\left({-2}\right)=0}$ .

Additional explanation:

Assign the function $f\left(x\right)$ as $y$ .

$\boxed{f\left(x\right)=y}$ ...... (1)

Define the function $g\left(x\right)$ as $z$ .

$\boxed{g\left(x\right)=z}$ ...... (2)

Replace 0 for $x$ in equation (1) to find $f\left(0\right)$ ; also, obtain $f\left(0\right)$ by checking the graph value of $y$ at $x=0$ .

$\boxed{f\left(0\right)=4}$

Insert 2 into $x$ in equation (1) to get $f\left(2\right)$ ; find $f(2)$ from the graph by locating $y$ at $x=2$ .

$\boxed{f\left(2\right)=0}$

Substitute $-2$ for $x$ in equation (2) to compute $g(-2)$ ; retrieve $g(-2)$ from the graph by finding $z$ at $x=-2$ .

$\boxed{g\left({-2}\right)=0}$

Check which option matches the results.

Option (a) shows $f(0)$ as 2, differing from the computed result, so it's incorrect.

Option (b) lists $f(0)$ as 4, not matching the calculated value, so it's incorrect.

Option (c) has $f(2)$ and $g(-2)$ both equal to 0, consistent with calculated values, so it's correct.

Option (d) shows $f(-2)$ as 0, but the graph reveals $f(-2)$ exceeds 12, making it incorrect.

Zina [12.3K]2 months ago

7 0

Let's examine each scenario to identify the correct statement.

Case 1) f(0) = 2 and g(–2) = 0

At x=0, locate f(0) on the graph: f(0) equals 4.

At x=-2, locate g(-2) on the graph: g(-2) equals 0.

Hence,

Case 1) statement is false.

Case 2) f(0) = 4 and g(–2) = 4

At x=0, f(0) from graph is 4.

At x=–2, g(–2) from graph is 0.

Therefore,

Case 2) statement is false.

Case 3) f(2) = 0 and g(–2) = 0

At x=2, from graph, f(2) equals 0.

At x=–2, g(–2) equals 0.

This means

Case 3) statement is true.

Case 4) f(–2) = 0 and g(–2) = 0

At x=–2, f(–2) appears greater than 12 on the graph.

At x=–2, g(–2) equals 0.

Thus,

Case 4) statement is false.

In conclusion,

The accurate statement is

f(2) = 0 and g(–2) = 0 — this statement holds true.

You might be interested in

Solve X-9+2wx=y for x

tester [12383]

X - 9 + 2wx = y Add 9 to both sides of the equation to isolate terms. Next, you get x + 2wx = y + 9. After that, factor out x to obtain x (1 + 2w) = y + 9. Lastly, divide every term by (1 + 2w) yielding x = (y + 9) / (1 + 2w).

8 0

1 month ago

Read 2 more answers

Juan has $10 to spend. He needs $13 to purchase the supplies. Explain how to find the amount of money Juan is short.

lawyer [12517]

Sample Answer: To determine the difference between 10 and 13, you apply the concept of additive inverses. Juan is lacking $3 to buy his supplies.

3 1

1 month ago

Read 3 more answers

Austin purchased a new laptop in 2018 for $1875. The laptop decreases in value by 30% each year. What is the value of the laptop

Inessa [12570]

The laptop would be of no worth. To find its actual value, it would equate to $-375.

7 0

1 month ago

Imagine that you are plotting points on a coordinate plane. Each axis is labeled with integers from −5 to 5. Explain how you wou

lawyer [12517]

Four statements:
1) Start by dividing the x-axis into equal segments.
2) n = 212/5 = 42.4.
3) Each segment along the x-axis represents 42.4. This means you can plot the point -212 at x = -5
4) The y-axis can keep its magnitude and you can plot the coordinate of -4 at y = -4

3 0

1 month ago

Read 2 more answers

The sum of two consecutive mile markers on the interstate is 561. Find the numbers on the markers.

PIT_PIT [12445]

Define x as the first mile marker, thus x + 1 corresponds to the second mile marker. This can be expressed as x + (x + 1) = 561, which simplifies to 2x + 1 = 561. Therefore, 2x equals 560, leading to x being 280. Consequently, the first mile marker is 280, and the second mile marker is 281.

4 0

1 month ago