## Algebra 2 Common Core

Published by Prentice Hall

# Chapter 7 - Exponential and Logarithmic Functions - Mid-Chapter Quiz - Page 461: 5

#### Answer

Domain: $(-\infty, +\infty)$ Range: $(0, \infty)$ $y$-intercept = $0.25$ Refer to the graph below.

#### Work Step by Step

To graph the given function, perform the following steps: (1) Create a table of values by assigning values to $x$ then solving for the corresponding $y$-value for each $x$. (Refer to the table in the attached image below.) (2) Plot each point (ordered pair) and connect them using a smooth curve. Note that the function has $y=0$ or the $y$-axis as its horizontal asymptote. (Refer to the graph above.) The graph shows that the function $y=\frac{1}{4}(10)^x$ has: (i) Domain: $(-\infty, +\infty)$ (ii) Range: $(0, \infty)$ (iii) $y$-intercept = $0.25$

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