Question

An exponential function $f(x) = a \cdot b^x$ passes through the points $(0, 7)$ and $(2, 112)$. What are the values of $a$ and $b$? $a = \boxed{\phantom{123}}$ and $b = \boxed{\phantom{123}}$

Name: an exponential function fx a cdot bx passes through the points 0 7 and 2 112 what are the values of a and b a boxedphantom123 and b boxedphantom123 09922
Uploaded: 2023-02-15T20:24:23-08:00
Duration: 1 min 37 s
Channel: Andrew Noble
Description: an exponential function fx a cdot bx passes through the points 0 7 and 2 112 what are the values of a and b a boxedphantom123 and b boxedphantom123 09922

          An exponential function $f(x) = a \cdot b^x$ passes through the points $(0, 7)$ and $(2, 112)$. What are the values of $a$ and $b$?
$a = \boxed{\phantom{123}}$ and $b = \boxed{\phantom{123}}$

an exponential function fx a cdot bx passes through the points 0 7 and 2 112 what are the values of a and b a boxedphantom123 and b boxedphantom123 09922

Added by Brett Z.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Andrew Noble

02/15/2023

Step 1

We need to find the values of $a$ and $b$. Step 2: Use the first point $(0, 7)$ to find the value of $a$. Substitute $x = 0$ and $f(x) = 7$ into the function $f(x) = a \cdot b^x$: $7 = a \cdot b^0$ Since any non-zero number raised to the power of 0 is 1 ($b^0 = Show more…

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An exponential function $f(x) = a \cdot b^x$ passes through the points $(0, 7)$ and $(2, 112)$. What are the values of $a$ and $b$? $a = \boxed{\phantom{123}}$ and $b = \boxed{\phantom{123}}$