1. Use the Pythagorean Theorem to find the distance between (-3,1)and (3,-7.) 2. Fill in the blanks to make the sentence true: "When rewriting an exponential expression with a rational exponent into radical notation, the of the becomes the of the [WORD BANK: exponent, radical, radicand, numerator, denominator, index] 3. Consider the function f (x) = vx + 3 (a) Graph the function on a coordinate plane. (b) State the domain in interval notation. (c) State the range in interval notation. 4. Consider the radical expression: V(64x6)4 (a) Rewrite as an exponential expression with a rational exponent. (b) Simplify using the Super Helpful Property.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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Answer the following questions. Show all work and steps to solve each problem: 

1. Use the Pythagorean Theorem to find the distance between (-3,1)and
(3, –7)
2. Fill in the blanks to make the sentence true: "When rewriting an
exponential expression with a rational exponent into radical notation, the
of the
becomes the
of the
[WORD BANK: exponent, radical, radicand, numerator, denominator, index]
3. Consider the function f (x) = vx +3
(a) Graph the function on a coordinate plane.
(b) State the domain in interval notation.
(c) State the range in interval notation.
4. Consider the radical expression: V(64x6 )4
3
(a) Rewrite as an exponential expression with a rational exponent.
(b) Simplify using the Super Helpful Property.
Transcribed Image Text:1. Use the Pythagorean Theorem to find the distance between (-3,1)and (3, –7) 2. Fill in the blanks to make the sentence true: "When rewriting an exponential expression with a rational exponent into radical notation, the of the becomes the of the [WORD BANK: exponent, radical, radicand, numerator, denominator, index] 3. Consider the function f (x) = vx +3 (a) Graph the function on a coordinate plane. (b) State the domain in interval notation. (c) State the range in interval notation. 4. Consider the radical expression: V(64x6 )4 3 (a) Rewrite as an exponential expression with a rational exponent. (b) Simplify using the Super Helpful Property.
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