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2 years ago

F(x){3/4x+2 If x≠2 {-4. If x=2 Whats f(-5), f(2),f(4)

Mathematics

1 answer:

satela [25.4K]2 years ago

7 0

The values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.

<h3>What is a function?</h3>

A function is a rule or expression showing the relationship between a dependent and independent variable.

We have the function to be;

f(x) = 3/ 4(x + 2)

Let's find f(-5), substitute the value of x as -5

f(-5) = 3/ 4 ( -5 + 2)

f(-5) = 3/ 4 × -3

f(-5) = -1/ 4

f(2), substitute the value of x as 2

f(2) = 3/ 4(2 + 2)

f(2) = 3/ 4 (4)

f(2) = 3/ 16

f(4) = 3/ 4 ( 4 + 2)

f(4) = 3/ 4(6)

f(4) = 3/ 8

Thus, the values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.

Learn more about functions here:

brainly.com/question/4025726

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state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv

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The domain of the graph is -∝ < x < ∝ and the range of the graph is -∝ < y < ∝. Also, the graph has no axis of symmetry

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

From the graph, we can see that the y values extend indefinitely

So, the range of the graph is -∝ < y < ∝

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

x-intercept = -4, -2 and 2
y-intercept = -9

<h3>Relative max and relative mins points and values, </h3>

The graph has a relative maximum at (3, 3) and the relative minimum are (0.5, 10)

<h3>Intervals of increase and decrease, </h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

Increasing interval: (0.5, ∝) and (-∝, -3)
Decreasing interval: (-3, 0.5)

<h3>Intervals of positive and negative,</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

Positive interval: (-4, -2) and (2, ∝)
Negative interval: (-∝, -4) and (-2, 2)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the graph has no axis of symmetry

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

As x ⇒ ∝, f(x) ⇒ +∝
As x ⇒ -∝, f(x) ⇒ -∝