Exponential and Logarithmic Functions Quiz

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EffectualHarmony7360
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5 Questions

What are the conditions for the quadratic equation $f(x) = abx-h ± k$ to have real roots?

$b < 0$ and discriminant $∆ = h^2 - 4abk > 0$

What does it mean if the leading coefficient $b$ in the quadratic equation $f(x) = abx$ is not equal to 1?

The parabola opens upwards if $b > 0$ and downwards if $b < 0$

If $a eq 0$ in the quadratic equation $f(x) = abx$, what can be said about the $x$-intercepts?

The $x$-intercept is at $(0, 0)$

For the quadratic equation $f(x) = 9x^2 - 4x - 3$, what are the roots of the equation?

$x = 3$ and $x = -\frac{1}{3}$

What does the value of the discriminant $∆$ indicate about the roots of a quadratic equation?

All of the above

This quiz covers the basics of exponential and logarithmic functions, including their properties and applications. Test your understanding of these essential concepts in mathematics.

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