Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

For the function
f(x)=x^(2)+5x+4, find the slope of the secant line between
x=-8 and
x=1.
Answer:

For the function $f(x)=x^{2}+5 x+4$ , find the slope of the secant line between $x=-8$ and $x=1$ . $\newline$ Answer:

View step-by-step help

View step-by-step help

Find the roots of factored polynomials

Full solution

Q. For the function

f(x)=x^{2}+5 x+4

, find the slope of the secant line between

x=-8

and

x=1

.

\newline

Answer:

Use Slope Formula: To find the slope of the secant line between two points on a function, we use the formula for slope, which is the change in $y$ -values divided by the change in $x$ -values. This is also known as the difference quotient. The formula is $(f(x_2) - f(x_1)) / (x_2 - x_1)$ , where $x_1$ and $x_2$ are the $x$ -values of the two points.
Find $f(-8)$ : First, we need to find the y-value for $x = -8$ by plugging it into the function $f(x) = x^2 + 5x + 4$ . This gives us $f(-8) = (-8)^2 + 5(-8) + 4$ .
Find $f(1)$ : Calculating $f(-8)$ , we get $f(-8) = 64 - 40 + 4 = 28$ .
Identify Two Points: Next, we need to find the $y$ -value for $x = 1$ by plugging it into the function $f(x) = x^2 + 5x + 4$ . This gives us $f(1) = (1)^2 + 5(1) + 4$ .
Calculate Slope: Calculating $f(1)$ , we get $f(1) = 1 + 5 + 4 = 10$ .
Calculate Slope: Calculating $f(1)$ , we get $f(1) = 1 + 5 + 4 = 10$ .Now we have the two points on the function: $(-8, 28)$ and $(1, 10)$ . We can use these to find the slope of the secant line using the formula $\frac{f(x_2) - f(x_1)}{x_2 - x_1}$ .
Calculate Slope: Calculating $f(1)$ , we get $f(1) = 1 + 5 + 4 = 10$ .Now we have the two points on the function: $(-8, 28)$ and $(1, 10)$ . We can use these to find the slope of the secant line using the formula $(f(x_2) - f(x_1)) / (x_2 - x_1)$ .The slope of the secant line is $(f(1) - f(-8)) / (1 - (-8)) = (10 - 28) / (1 - (-8)) = (-18) / 9$ .
Calculate Slope: Calculating $f(1)$ , we get $f(1) = 1 + 5 + 4 = 10$ .Now we have the two points on the function: $(-8, 28)$ and $(1, 10)$ . We can use these to find the slope of the secant line using the formula $(f(x_2) - f(x_1)) / (x_2 - x_1)$ .The slope of the secant line is $(f(1) - f(-8)) / (1 - (-8)) = (10 - 28) / (1 - (-8)) = (-18) / 9$ .Calculating the slope, we get $-18 / 9 = -2$ .

More problems from Find the roots of factored polynomials

Question

Find the degree of this polynomial.

\newline

`5b^{10} + 3b^3`

\newline

Posted 5 months ago

Question

\newline

(9a + 5) - (2a + 4)

\newline

Posted 5 months ago

Question

Find the product. Simplify your answer.

\newline

-3v^2(v^2 - 9)

\newline

Posted 5 months ago

Question

Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

Posted 5 months ago

Question

Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

Posted 5 months ago

Question

Divide. If there is a remainder, include it as a simplified fraction.

\newline

(24t^2 + 36t) \div 6t

\newline

Posted 5 months ago

Question

Is the function

q(x) = x^6 - 9

even, odd, or neither?

\newline

\newline

\text{[[even][odd][neither]]}

Posted 9 months ago

Question

Find the product. Simplify your answer.

\newline

-3q^2(-3q^2 + q)

\newline

Posted 9 months ago

Question

Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

Posted 9 months ago

Question

Find the roots of the factored polynomial.

\newline

(x + 7)(x + 4)

\newline

Write your answer as a list of values separated by commas.

\newline

x =

Posted 9 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant