Question

Need Algebra 2 Help!

Answer 1

Use the four functions below for this question:

Answer 2

Compare and contrast these four functions using complete sentences. Focus on the slope and y-intercept first, and then on any additional properties of each function.

Answer 3

hints:
In a function of the form
y=ax+b
b is the y-intercept (because y=b when x=0)
and a is the slope.
The slope determines if the y is increasing or decreasing as x increases.
a>0 means slope is positive (increasing)
a<0 means slope is negative (decreasing)
a=0 means the line is horizontal.

Answer 4

All slopes are negative correct?

Answer 5

Confused what its asking for f(x) @mathmate

Answer 6

@legomyego180

Answer 7

idk sry

Answer 8

y and f(x) are kind of synonyms.
y is used in high-school, and
f(x) is used thereafter.

f(x) specifies what the independent variable is, and for y, the variable is understood to be x.

We could write equally
y=ax+b
or
f(x)=ax+b
where f(x) is actually the y-coordinate on the graph.

Answer 9

this is f(x) = Jesse got $5 from his dad and he makes $2 each time he walks the neighbor's dog.

Answer 10

Not all four functions have negative slopes.

When f(x) (or y) increases when x increases, the slope is positive.

For example,
f(x)=2x-3
the slope is +2, so the slope is positive.
f(x)=-2x-3
the slope is -2, so the slope is negative.
"b" has no incidence on the value of the slope. It just shifts the line up or down.

Please reread the significance of a and b in
f(x)=ax+b.

Answer 11

The first two are positive and the last two are negative slopes?

Answer 12

or is the first and last positive and the middle negative, this is so confusing to me

Answer 13

@mathmate

Answer 14

Remember, a positive slope means that the function f(x) (or g(x), h(x), i(x)...) \(increases\) as x increases.
For example,
x 1 3 7
y 3 7 15
is an increasing function because as x goes from 1 to 3 (increase), y goes from 3 to 7 (increase).

Answer 15

For j(x)
Did you graph it on a calculator, or did you make a table?
If you made a table, can you post it?

Answer 16

everything is increasing except for h?

Answer 17

i mad an error i see the graph is increasing

Answer 18

You're giving me four different answers in 5 minutes.
Tell me how you work, on a computer, on paper or with a calculator?
Work with one function at a time, make sure you're correct before trying others. This way, you confirm your concept, and not confuse yourself with different combination of answers.

Answer 19

I dont know how to do the first two

Answer 20

Make a table, and if the computer cannot handle it, use paper.
Using paper has the advantage that the next time you see a table, you can visualize what it \(should\) look like.
With the computer or calculator, once you press reset, nothing is left in your mind, or, you hardly learned anything.

Answer 21

2x + 5 is the first one

Answer 22

the first and last are increasing slopes and the middle two are negative. with your help this is what ive concluded.

Answer 23

I agree with your conclusions, well done!
Now, you may want to proceed to the y-intercepts.

Answer 24

Also, you may want to find the slope of each, not just the sign.

Answer 25

The first and last y intercept is 5?

Answer 26

the first and last are the same but with swapped - +

Answer 27

So slope / y-intercept
f + 5
g -
h -
j + -5
Can you complete the rest?