6. Exponential & Logarithmic Functions

Introduction to Exponential Functions

Textbook Question
Solve each equation. See Examples 4–6. (√2)^(x+4) = 4^x
238
views
Multiple Choice
Determine if the function is an exponential function.
If so, identify the power & base, then evaluate for $x=4$ .
$f\left(x\right)=\left(-2\right)^{x}$
432
views
4
rank
Multiple Choice
Determine if the function is an exponential function.
If so, identify the power & base, then evaluate for $x=4$ .
$f\left(x\right)=3\left(1.5\right)^{x}$
318
views
3
rank
Multiple Choice
Determine if the function is an exponential function.
If so, identify the power & base, then evaluate for $x=4$ .
$f\left(x\right)=\left(\frac12\right)^{x}$
307
views
6
rank
Textbook Question
In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 2^3.4
315
views
Textbook Question
Fill in the blank(s) to correctly complete each sentence. If ƒ(x) = 4^x, then ƒ(2) = and ƒ(-2) = ________.
277
views
Textbook Question
In Exercises 1–4, the graph of an exponential function is given. Select the function for each graph from the following options: f(x) = 4^x, g(x) = 4^-x, h(x) = -4^(-x), r(x) = -4^(-x)+3 3.
451
views
Textbook Question
In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 4^-1.5
282
views
Textbook Question
In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. e^2.3
446
views
Textbook Question
In Exercises 5–9, graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range. f(x) = 3^x and g(x) = -3^x
453
views
Textbook Question
Solve each equation. Round answers to the nearest hundredth as needed. x^(2/3) =36
245
views
Textbook Question
Use the compound interest formulas to solve Exercises 10–11. Suppose that you have $5000 to invest. Which investment yields the greater return over 5 years: 1.5% compounded semiannually or 1.45% compounded monthly?
582
views
Textbook Question
In Exercises 11–18, graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. f(x) = 4^x
527
views
Textbook Question
In Exercises 11–18, graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. g(x) = (3/2)^x
360
views
Textbook Question
For ƒ(x) = 3^x and g(x)= (1/4)^x find each of the following. Round answers to the nearest thousandth as needed. See Example 1. g(2)
242
views