For the following exercises, determine whether the table could represent a function that is linear, exponential, or neither. If it appears to be exponential, find a function that passes through the points.

Solutions

Expert Solution

Consider the table provided in the exercise.

An exponential function is represented as:

f(x) = a(b)x

The linear function is represented as:

f(x) = mx + b

For exponential function common ratio have to be same and similarly for the linear function common difference have to be same, which is tabulated as shown below:

Linear function Common difference	Exponential function Common ratio
10 – 20 = -10	10/20 = 0.5
20 – 40 = -20	20/40 = 0.5
40 – 80 = -40	40/80 = 0.5

Since, the common is ratio 0.5 is same; therefore, the points represent an exponential function. The formula for the exponential function is f(x) = a(b)0.5.

Nabeel answered 1 year ago

Next > < Previous

Related Solutions

For the following exercises, find the formula for an exponential function that passes through the two points given.

For the following exercises, use the table of values that represent points on the graph of a quadratic function. By determining..

For the following exercises, use the table of values that represent points on the graph of a quadratic function. By determining the vertex and axis of symmetry, find the general form of the equation of the quadratic function.

Find either a linear or an exponential function that models the data in the table. x...

Find either a linear or an exponential function that models the data in the table. x −3 −2 −1 0 1 y 128 64 32 16 8 f(x)= (Use integers or fractions for any numbers in the expression.) Note: Please show how to solve using TI-84 Plus calculator

For the following exercises, refer to Table 8. Write the exponential function as an exponential equation with base e.

For the following exercises, refer to Table 8.Write the exponential function as an exponential equation with base e.

1. Determine whether the following planes are parallel, orthogonal, or neither. If they are neither parallel...

1. Determine whether the following planes are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle of intersection. -2x – 31y + 5z + 3 = 0 -3x + y + 5z -4 = 0 2. Find the distance between the point ( 2, -2, -3 )and the plane .2x – 3y + 4z = 8

For the following exercises, determine the amplitude, period, and midline of the graph, and then find a formula for the function.

For the following exercises, determine the amplitude, period, and midline of the graph, and then find a formula for the function.Give in terms of a sine function.

Find the center and the radius of the circle whose graph passes through points (2,5) (-4,-3) and (3,4).

Solve by using elimination. Find the center and the radius of the circle whose graph passes through points (2,5) (-4,-3) and (3,4). Use the given equation x^2 + y^2 + ax + by + c= 0

determine whether the given function is even, odd, or neither. Please write a code in MatLab...

determine whether the given function is even, odd, or neither. Please write a code in MatLab to solve this problem below: 1.f(x) = sin 3x please only use Matlab to solve this problem

For the following exercises, determine whether or not the given function f is continuous everywhere...f(x) = log2 (x)

For the following exercises, determine whether or not the given function f is continuous everywhere. If it is continuous everywhere it is defined, state for what range it is continuous. If it is discontinuous, state where it is discontinuous.f(x) = log2 (x)

Suppose it is known that the graph of the function y = ax3 + bx2 + cx + d passes through four given points (xi, yi ),

Suppose it is known that the graph of the function y = ax3 + bx2 + cx + d passes through four given points (xi, yi ), i = 1, 2, 3, 4. Write a userdefined function that accepts these four points as input and computes the coefficients a, b, c, and d. The function should solve four linear equations in terms of the four unknowns a, b, c, and d. Test your function for the case where (xi ,...

Subjects