1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maslowich
1 year ago
11

If f x is a linear function, f(-1)=3, and f(1)=5, find an equation for f(x)

Mathematics
1 answer:
BartSMP [9]1 year ago
6 0

The equation of f(x) is f(x) = x + 4

<h3>How to determine the equation?</h3>

The given parameters are

f(-1) = 3 and f(1) = 5

Start by calculating the slope (m) using:

m = \frac{f(1) - f(-1)}{1 - -1}

This gives

m = \frac{5 - 3}{1 + 1}

Evaluate

m = 1

The equation is then calculated as;

f(x) = m(x - x1) + f(-1)

This gives

f(x) = 1(x + 1) + 3

Expand

f(x) = x + 4

Hence, the equation of f(x) is f(x) = x + 4

Read more about linear function at:

brainly.com/question/4025726

#SPJ1

You might be interested in
There is a positive correlation between the number of times the Striped Ground Cricket chirps per second and the temperature in
Annette [7]
This answer is c 190
4 0
3 years ago
Read 2 more answers
Can someone help me with this question please ASAP?
koban [17]

Answer:

x = 5.6 or you can write like this: x = 5 3/5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
NEED HELP QUICK!!
mrs_skeptik [129]

Answer:

(x - 2)² + (y - 6)² = 49

Step-by-step explanation:

Equation of a circle formula:  (x - a)² + (y - b)² = r²

where (a, b) is the center of the circle and r is the radius

Given, center = (2, 6) and radius = 7

Substitute this information in the equation of a circle formula.

⇒ Equation of the circle:  (x - 2)² + (y - 6)² = 49

3 0
2 years ago
At a school fair 70% of the people are under 16 years old. One third of the people remaining are teachers. If there are 21 teach
Tamiku [17]
In the fairest school 70% are below 16 years old 1/3 are teachers which is equals to = 21 Let’s start solving: => 1/3 of 100% => 100 / 3 = 33.33% thus 33.33% = 21 => 21 x 3 = 63, is the total number of people in the school. Let’s try solving the number of people below 16 years old Have you notice that you are asking for a 70% of students but there are already 33.33% of teacher. Thus your given problem is not right already. => 100% - 33.33% = 66.67% that’s the only remaining percentage and not 70% => 63 * .6667 = 42.0021 Thus, there are around 42 people who are 16 years old younger.
3 0
3 years ago
4
Ad libitum [116K]

The transformation of a function may involve any change. The correct option is D.

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

  • Left shift by c units, y=f(x+c) (same output, but c units earlier)
  • Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

  • Up by d units: y = f(x) + d
  • Down by d units: y = f(x) - d

Stretching:

  • Vertical stretch by a factor k: y = k \times f(x)
  • Horizontal stretch by a factor k: y = f(\dfrac{x}{k})

Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.

Learn more about Transforming functions:

brainly.com/question/17006186

#SPJ1

4 0
1 year ago
Other questions:
  • Find the probability of rolling a sum of 10 or a sum that is an odd number when two number cubes are rolled.
    7·1 answer
  • For which intervals is the function increasing?
    10·1 answer
  • A rectangle has a length 6 meters longer than double the width. The perimeters is i44 meters. Find the dimensions of the rectang
    8·1 answer
  • Algebraic of coefficient of 3
    12·1 answer
  • A farmers land is separated jcuxududinto sections of size 2 1/5 acres suppose there are 2 7/9such sections . How many acres of t
    11·1 answer
  • Solve for x<br><br>An explanation would be great.
    6·2 answers
  • Solve the following log3 34<br> a. 3.3<br> b.3<br> c.3.2098<br> d. 0<br> e.2<br> f. 312
    9·1 answer
  • Do the points shown represent additive inverses? Explain why or why not.
    7·2 answers
  • If /\PQR~/\SQT, find the value of x.
    10·1 answer
  • Find the surface area of the prism. 16cm 12cm 10cm 20cm
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!