Which exponential function has an x-intercept

1 answer:

3 0

I suppose you thought the following:

A) f(x) = 100^(x-5) - 1
B) f(x) = 3^(x-4) - 2
C) f(x) = 7^(x-1) + 1
D) f(x) = 8^(x+1) - 3

In that case the correct answers are A), B) and D)

Good luck!!!

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Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

$x-2y=6$

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

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Divide both sides by -2

$y=\frac{1}{2} x-3$

Now, we can identify clearly that the slope of the given line is $\frac{1}{2}$ since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of $\frac{1}{2}$ as well. Plug this into $y=mx+b$ :