For the function whose graph is shown, which is the correct formula for the function?

Mathematics

2 answers:

fiasKO [112]3 years ago

8 0

Answer:

Step-by-step explanation:

Try using simple numbers like 1 as x and then try with the different functions until it works

alexgriva [62]3 years ago

4 0

Answer:

y=-2x+3

Step-by-step explanation:

Here we are given a graph of line. We can see from the graph that the y intercept . i.e the distance of the the point at which it intersect y axis from (0,0) is 3.

Also we see that the line is making obtuse angle with the positive x axis . Hence tan of this angle will be negative or we can say that the slope of this line is negative

Now the equations in options are given in slope intercepts form

y=mx+c

where m is slope and c is y intercept

Hence in the given four options we see that only 3rd and 4th option has y intercept as 3

But the slope of 3rd is positive and that of 4th is negative . Hence our answer is 4th option

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Which function has the smallest minimum? (5 points)

Andrej [43]

f(x) has the smallest minimum. The minimum value of f(x) is -3

The largest sin(x) can get is 1.
This applies to sin(2x-pi) as well. So f(x) is as small as -5*(1)+2 = -5+2 = -3.
You can see this each time the red curve bottoms out at y = -3.

The smallest that g(x) can get is y = -2 as shown at the vertex (3,-2)

The smallest that h(x) can get is y = 3 as shown by the point (1,3)

See the attachment for a visual comparison of the three functions.