All categories

3 years ago

Match the key aspect of a function's graph with its meaning

Mathematics

1 answer:

Aliun [14]3 years ago

8 0

Answer:

y- intercept --> Location on graph where input is zero

f(x) < 0 --> Intervals of the domain where the graph is below the x-axis

x- intercept --> Location on graph where output is zero

f(x) > 0 --> Intervals of the domain where the graph is above the x-axis

Step-by-step explanation:

Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.

f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.

X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.

f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.

You might be interested in

Which number line correctly shows 1.5 + 2.5?

Juli2301 [7.4K]

Answer: The first one.

Step-by-step explanation:

Since 1.5 + 2.5 = 4, and the only graph that has an arrow pointing to 4 is the first one, then the first number line is the correct answer.

Hope this helps :)

4 0

3 years ago

Read 2 more answers

Bob and mark talk about their families. Bob says he has 3 kids, the product of their age is 72. He gives another clue: the sum o

Bingel [31]

Possible Ages Sum of The Ages 1 2 36 391 4 18 231 8 9 181 3 24 282 3 12 172 4 9 152 6 6 142 2 18 223 3 8 143 4 6 13

The sum has to be 14. So it can be 2, 6, and 6 or 3, 3, and 8.
But it cannot be 3, 3, and 8 because the youngest cannot be a twin.

So it is 2, 6, and 6.

Hope this helps :)

3 0

3 years ago

Andre looks at a box of paper clips. He says: “I think the number of paper clips in the box is less than 1,000.” Lin also looks

d1i1m1o1n [39]

Answer:

500 $\leq$ p $\leq$ 1000

Step-by-step explanation:

Since Andre if giving a rough estimate about how much paper clips are in the box, we will use the $\leq$ (less than or equal to)

Your X value will be your actual number, the equation shows us that p is anywhere between 500 - 1000

7 0

3 years ago

Which equation represents the graphed function ?

goldenfox [79]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 1)

m = $\frac{1-3}{1-0}$ = - 2

note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = - 2x + 3 → A

8 0

4 years ago

Read 2 more answers

Milton makes trail mix for his hiking group he makes a 1 and 1/4 pound of peanuts 14 oz of raisins 12 oz of walnuts in 10 oz of

strojnjashka [21]

Answer:

Each hiker receives 7 ounces of trail mix

Step-by-step explanation:

Trail mix=quantity of peanuts+quantity of raisins+quantity of walnuts+quantity of chocolate chips

where;

Quantity of peanuts=1.25 pounds

Quantity of raisins=14 oz, since 1 pound=16 oz.

Quantity of raisins=(14/16)=0.875 pounds

Quantity of walnuts=12 oz=(12/16)=0.75 pounds

Quantity of chocolate chips=10 oz=(10/16)=0.625 pounds

Replacing;

Trail mix=(1.25+0.875+0.75+0.625)=3.5 pounds

Trail mix=Quantity per hiker×Number of hikers

where;

Trail mix=3.5 pounds

Quantity per hiker=q

Number of hikers=8

Replacing;

3.5=q×8

q=3.5/8=0.4375 pounds

I pound=16 ounces

q=0.4375×16=7 ounces

Each hiker receives 7 ounces of trail mix

8 0

3 years ago