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2 years ago

Use the graph to determine which statement describes f(x)

Mathematics

1 answer:

djverab [1.8K]2 years ago

6 0

Answer:

f(x) does not have an inverse function, because its graph fails the horizontal line test. ⇒ A

Step-by-step explanation:

The vertical line test is used to show that the graph represents a

function or not

If the vertical line crosses the graph in more than one point, then the graph does not represent a function

If the vertical line crosses the graph in only one point in different positions, then the graph represents a function

The horizontal line test is used to show that the function has an

inverse or not

If the horizontal line crosses the graph of a function in more than one point, then the function has no inverse

If the horizontal line crosses the graph of a function in only one point in different positions, then the function has an inverse

Let us look at the given graph

→ The graph represents a parabola, which represents the function f(x)

∵ Any horizontal line drawn will cross the graph in more than one point

∴ f(x) has no inverse

∴ f(x) does not have an inverse function, because its graph fails the

horizontal line test.

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Calculate the value of X

garik1379 [7]

Answer:

$x=\frac{133}{3}^o$

Step-by-step explanation:

The Triangle external angle theorem states that :An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see

see the attached figure with letter to better understand the problem

step 1

Find the measure of the interior angle at B

we know that

$m\angle B+2x=180^o$ ----> by supplementary angles (form a linear pair)

$m\angle B=180^o-2x$

step 2

Find the value of x

Applying the triangle external angle theorem

$86^o+(180-2x)^o=4x^o$

solve for x

$86^o+(180-2x)^o=4x^o$

$4x+2x=266\\6x=266$

$x=\frac{266}{6}^o$

simplify

$x=\frac{133}{3}^o$

4 0

2 years ago

Convert the following into standard form 1 y = = -x + 2 6

alisha [4.7K]

Answer: y=-x +2

Step-by-step explanation:

1y=-x+2

1y/1=-x/1+2/1

y=-x+2

8 0

2 years ago

A scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefl

svlad2 [7]

Answer:

7.65 meters.

Step-by-step explanation:

Let x represent the distance that diver will travel.

We have been given that a scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefly at a reef that has an elevation of -4.55 meters. We are asked to find the distance that diver will travel.

The initial elevation plus x will be equal to -4.55 meters. We can represent our given information in an equation as:

$-12.2+x=-4.55$