Finding x & y intercepts

Radical Functions

10

Find the y - intercept

y = 5x^1/2 + 10

10

20

Find the x-intercept.

y = 2-x^1/2

4

30

Find the y-intercept. Round 1 decimal place.

y = (4x+4)^1/3

1.6

40

Find the x-intercept.

y = (4-x)^1/2 + 2

there is no x-intercept

Quadratic Function

10

Find the y-intercept.

y = x²+3x+1

1

20

Find the y-intercept.

y = x² - 9

-9

30

Find the x-intercepts.

y = x² - 5x + 6

2 and 3

40

Find the x-intercept.

y = (x - 4)²

4

Logarithmic Function

10

Find the y-intercept. 

y = log₂(x+8) - 2

1

20

Find the x-intercept. Round 2 decimal places.

y = ln(x) - 1

2.72

30

Find the x-intercept. Round 2 decimal places.

y = log₂(x-1) + 5

1.03

40

Find the y-intercept.

y = 2log₃(x+27)

6

Exponential Function

10

Find the y-intercept.

y = 5^x - 4

-3

20

Find the y-intercept.

y = 4^x-1

0.25

30

Find the x-intercept.

y = 3^x - 9

2

40

Find the x-intercept.

y = 5^(2x+1) - 25

0.5

Polynomial Function

10

Find the y-intercept.

y = (x+1)⁴+2

3

20

Find all real x-intercepts.

y = x³+2x²

x = {-2, 0}

30

Find all real x-intercepts. Round 1 decimal place if necessary.

y = x⁵+x⁴-3x

x = {0, -1.7, 1.1}

40

Find all real x-intercepts. Round 1 decimal place if necessary.

y=(x²-3)³+30

there are no real x-intercepts.

50

Final Jeopardy!

Find all real x-intercepts. Round 1 decimal place.

y = log( x² - 1/x )

1.3