Question
Asked Dec 5, 2019
4 views

Find an exponential function of the form f(x) = bax that has the given y-intercept and passes through the point P.

y-intercept 8;    P(3, 1)
check_circle

Expert Answer

Step 1

Given:

help_outline

Image Transcriptionclose

Y-intercept is 8 and passes through the point (3,1)

fullscreen
Step 2

Calculation:

To find the exponential function:

help_outline

Image Transcriptionclose

The exponential function is of the form, f(x) = ba.(1) Given that, Y- intercept is (0,8). Let us take the equation (1) as, y = ba"...(2)

fullscreen
Step 3
help_outline

Image Transcriptionclose

Substitute the intercept value in equation (2), we get 8 = ba 8= b(1). (since aº =1) b = 8 Substitute the value of b in equation (2), y = 8a*..(3)

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra