- Domain: All real numbers - Range: $\{y \mid y>0\}$ - Y-intercept: $5$ - Asymptote: $y=0$ - End behavior: As $x$ approaches $-\infty$, the values of $f(x)$ approach $0$, and as $…
part 5 of 5
identify the domain, range, intercept, and asymptote of the exponential function. then describe the end behavior.
$f(x)=5\\cdot8^{x}$
o d. $\\{y|y< \\ \\}$
o e. all real numbers
the y-intercept of the function $f(x)=5\\cdot8^{x}$ is 5.
(type an integer or a decimal.)
the asymptote of $f(x)=5\\cdot8^{x}$ is $y=0$.
(type an equation.)
as x approaches $-\\infty$, the values of f(x) approach $\\square$, and as x approaches $\\infty$, the values of f(x) approach $\\square$.
part 5 of 5
identify the domain, range, intercept, and asymptote of the exponential function. then describe the end behavior.
$f(x)=5\\cdot8^{x}$
o d. $\\{y|y< \\ \\}$
o e. all real numbers
the y-intercept of the function $f(x)=5\\cdot8^{x}$ is 5.
(type an integer or a decimal.)
the asymptote of $f(x)=5\\cdot8^{x}$ is $y=0$.
(type an equation.)
as x approaches $-\\infty$, the values of f(x) approach $\\square$, and as x approaches $\\infty$, the values of f(x) approach $\\square$.
Exponential functions accept all real $x$, so domain is all real numbers.
$8^x>0$ for all real $x$, so $5\cdot8^x>0$. Range is $\{y \mid y>0\}$.
Set $x=0$: $f(0)=5\cdot8^0=5\cdot1=5$.
As $x\to-\infty$, $8^x\to0$, so $f(x)\to0$. Asymptote is $y=0$.
As $x\to-\infty$, $8^x\to0$, so $f(x)\to0$. As $x\to\infty$, $8^x\to\infty$, so $f(x)\to\infty$.
Exponential functions accept all real $x$, so domain is all real numbers.
$8^x>0$ for all real $x$, so $5\cdot8^x>0$. Range is $\{y \mid y>0\}$.
Set $x=0$: $f(0)=5\cdot8^0=5\cdot1=5$.
As $x\to-\infty$, $8^x\to0$, so $f(x)\to0$. Asymptote is $y=0$.
As $x\to-\infty$, $8^x\to0$, so $f(x)\to0$. As $x\to\infty$, $8^x\to\infty$, so $f(x)\to\infty$.
part 5 of 5
identify the domain, range, intercept, and asymptote of the exponential function. then describe the end behavior.
$f(x)=5\\cdot8^{x}$
o d. $\\{y|y< \\ \\}$
o e. all real numbers
the y-intercept of the function $f(x)=5\\cdot8^{x}$ is 5.
(type an integer or a decimal.)
the asymptote of $f(x)=5\\cdot8^{x}$ is $y=0$.
(type an equation.)
as x approaches $-\\infty$, the values of f(x) approach $\\square$, and as x approaches $\\infty$, the values of f(x) approach $\\square$.
Top-left cell: 180 Top-right cell: 6 Bottom-left cell: 600 Bottom-right cell: 20 Final product: 806
| Equation | Solution (Fraction) | Solution (Decimal) | |----------|---------------------|--------------------| | $2x=3$ | $\frac{3}{2}$ | $1.5$ | | $5y=3$ | $\frac{3}{5}$ | $0.6$…
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Domain: All real numbers Range: $\{y | y > 0\}$ y-intercept: 5 Asymptote: $y=0$ End behavior: As $x \to -\infty$, $f(x) \to 0$; As $x \to \infty$, $f(x) \to \infty$
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